LCM of 22 and 269

What is the LCM of 22 and 269?


LCM of 22 and 269

is 5918

Formula How to

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What is the Least Common Multiple of 22 and 269? 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 22 and 269 using those formula above, step by step instructions are given below

GCF Method:

  1. Input the value as per formula.
    lcm(22,269) =
    (22 × 269)/gcf(22,269)
  2. Calculate the numerator part and find the GCF of 22 and 269 in the denominator part.
    lcm(22,269) =
    5918/1
  3. After reduce the fraction, you will get the LCM value. Which is,
    5918

Prime Factorization Method:

  1. Find the prime factors of the first number 22.
    2, 11
  2. Find the prime factors of the second number 269.
    269
  3. Multiply all the highest exponent prime factors is the LCM value. Which is,
    5918

Number LCM GCF
22 & 264 264 22
22 & 265 5830 1
22 & 266 2926 2
22 & 267 5874 1
22 & 268 2948 2
22 & 269 5918 1
22 & 270 2970 2
22 & 271 5962 1
22 & 272 2992 2
22 & 273 6006 1
22 & 274 3014 2

LCM (Least Common Multiple) of 22 and 269 is 5918.

SCM (Smallest Common Multiple) of 22 and 269 is 5918.