# Least Common Multiple

## Find the LCM of Two Numbers

The LCM, or Least Common Multiple, is a mathematical concept that represents the smallest number that is a multiple of two or more numbers. In other words, it's the smallest positive integer that is divisible by all the numbers in a given set.

The LCM is often used in solving problems involving fractions, ratios, and gcd (greatest common divisor). To find the LCM of two or more numbers, you can use various methods such as listing the multiples of each number, finding the prime factorization of each number, and using division algorithms. Once you have the LCM, you can use it to simplify expressions, convert between fractions and decimals, and solve problems involving ratios and proportions.

To find LCM (Least Common Multiple) between two numbers, mainly there are two methods available, Those are-

1. GCF Method: To find the LCM value using GCF method, use the simple formula-

lcm(a,b) =
(a × b)/gcf(a,b)

Where,

• a = First integer value;
• b = Second integer value;
• gcf = Greatest common factor;

2. Prime Factorization Method: Find the prime factors of both number and then multiply of all the highest exponent prime factors value, you will get the LCM value.

Number LCM GCF
6 & 8 24 2
6 & 9 18 3
8 & 12 24 4
9 & 12 36 3
8 & 10 40 2
6 & 10 30 2
12 & 15 60 3
9 & 15 45 3
4 & 6 12 2
7 & 8 56 1
4 & 10 20 2
6 & 7 42 1
3 & 4 12 1
8 & 6 24 2
8 & 9 72 1
12 & 18 36 6
5 & 6 30 1
9 & 6 18 3
7 & 9 63 1
6 & 15 30 3
10 & 12 60 2
3 & 8 24 1
3 & 5 15 1
12 & 16 48 4
10 & 15 30 5
12 & 9 36 3
3 & 9 9 3
4 & 5 20 1
4 & 7 28 1
5 & 7 35 1
4 & 8 8 4
2 & 3 6 1
12 & 30 60 6
5 & 10 10 5
7 & 5 35 1
15 & 20 60 5
4 & 9 36 1
3 & 7 21 1
12 & 20 60 4
5 & 8 40 1
3 & 6 6 3
7 & 12 84 1
24 & 36 72 12
4 & 14 28 2
6 & 12 12 6
15 & 6 30 3
2 & 5 10 1
7 & 4 28 1
6 & 14 42 2
10 & 8 40 2
10 & 6 30 2
14 & 21 42 7
8 & 14 56 2
2 & 4 4 2
2 & 6 6 2
8 & 7 56 1
18 & 24 72 6
15 & 25 75 5
4 & 12 12 4
8 & 20 40 4
9 & 5 45 1
6 & 4 12 2
12 & 7 84 1
9 & 8 72 1
9 & 21 63 3
8 & 5 40 1
6 & 21 42 3
5 & 12 60 1
9 & 7 63 1
11 & 12 132 1
10 & 14 70 2
18 & 45 90 9
9 & 4 36 1
16 & 12 48 4
12 & 8 24 4
18 & 27 54 9
8 & 56 56 8
2 & 7 14 1
8 & 16 16 8
7 & 14 14 7
5 & 15 15 5
18 & 20 180 2
15 & 18 90 3
14 & 4 28 2
9 & 3 9 3
8 & 3 24 1
16 & 24 48 8
7 & 21 21 7
5 & 9 45 1
10 & 5 10 5
7 & 10 70 1
5 & 4 20 1
18 & 30 90 6
4 & 16 16 4
7 & 3 21 1
24 & 30 120 6
5 & 11 55 1
4 & 2 4 2
24 & 32 96 8
18 & 12 36 6
7 & 11 77 1
15 & 12 60 3
3 & 10 30 1
20 & 25 100 5
14 & 6 42 2
7 & 2 14 1
8 & 18 72 2
18 & 21 126 3
10 & 7 70 1
21 & 6 42 3
6 & 16 48 2
2 & 9 18 1
12 & 10 60 2
36 & 45 180 9
9 & 24 72 3
14 & 35 70 7
5 & 20 20 5
15 & 9 45 3
32 & 45 1440 1
2 & 8 8 2
6 & 3 6 3
7 & 28 28 7
16 & 20 80 4
25 & 35 175 5
11 & 3 33 1
14 & 49 98 7
4 & 15 60 1
6 & 18 18 6
14 & 18 126 2
30 & 40 120 10
8 & 28 56 4
6 & 5 30 1
12 & 21 84 3
14 & 8 56 2
15 & 10 30 5
3 & 15 15 3
18 & 36 36 18
14 & 20 140 2
12 & 28 84 4
32 & 40 160 8
30 & 75 150 15
3 & 12 12 3
12 & 3 12 3
9 & 18 18 9
8 & 4 8 4
30 & 42 210 6
30 & 45 90 15
14 & 15 210 1
45 & 60 180 15
20 & 15 60 5
28 & 42 84 14
40 & 50 200 10
45 & 75 225 15
36 & 54 108 18
14 & 22 154 2
10 & 16 80 2
10 & 18 90 2
15 & 21 105 3
3 & 2 6 1
12 & 36 36 12
4 & 18 36 2
14 & 16 112 2
27 & 63 189 9
21 & 14 42 7
13 & 17 221 1
15 & 27 135 3
8 & 15 120 1
12 & 40 120 4
10 & 11 110 1
9 & 10 90 1
15 & 24 120 3
36 & 48 144 12
6 & 20 60 2
6 & 2 6 2
24 & 40 120 8
21 & 35 105 7
12 & 24 24 12
2 & 12 12 2
21 & 28 84 7
30 & 20 60 10
5 & 3 15 1
9 & 16 144 1
10 & 25 50 5
36 & 60 180 12
16 & 18 144 2
9 & 11 99 1
10 & 4 20 2
25 & 30 150 5
25 & 4 100 1
8 & 24 24 8
6 & 24 24 6
21 & 49 147 7
10 & 20 20 10
12 & 54 108 6
3 & 16 48 1
4 & 3 12 1
2 & 10 10 2
9 & 14 126 1
8 & 11 88 1
20 & 8 40 4
27 & 45 135 9
30 & 36 180 6
27 & 36 108 9
15 & 40 120 5
26 & 39 78 13
35 & 25 175 5
12 & 27 108 3
12 & 32 96 4
72 & 24 72 24
12 & 4 12 4
12 & 14 84 2
25 & 15 75 5
24 & 60 120 12
4 & 20 20 4
7 & 15 105 1
20 & 36 180 4
18 & 42 126 6
30 & 50 150 10
20 & 24 120 4
15 & 30 30 15
3 & 11 33 1
5 & 2 10 1
35 & 50 350 5
28 & 32 224 4
16 & 40 80 8
32 & 48 96 16

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