LCM of 17 and 1444

What is the LCM of 17 and 1444?


LCM of 17 and 1444

is 24548

Formula How to

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What is the Least Common Multiple of 17 and 1444? 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.

For calculation, here's how to calculate LCM of 17 and 1444 using those formula above, step by step instructions are given below

GCF Method:

  1. Input the value as per formula.
    lcm(17,1444) =
    (17 × 1444)/gcf(17,1444)
  2. Calculate the numerator part and find the GCF of 17 and 1444 in the denominator part.
    lcm(17,1444) =
    24548/1
  3. After reduce the fraction, you will get the LCM value. Which is,
    24548

Prime Factorization Method:

  1. Find the prime factors of the first number 17.
    17
  2. Find the prime factors of the second number 1444.
    2, 2, 19, 19
  3. Multiply all the highest exponent prime factors is the LCM value. Which is,
    24548

Number LCM GCF
17 & 1439 24463 1
17 & 1440 24480 1
17 & 1441 24497 1
17 & 1442 24514 1
17 & 1443 24531 1
17 & 1444 24548 1
17 & 1445 1445 17
17 & 1446 24582 1
17 & 1447 24599 1
17 & 1448 24616 1
17 & 1449 24633 1

LCM (Least Common Multiple) of 17 and 1444 is 24548.

SCM (Smallest Common Multiple) of 17 and 1444 is 24548.