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Least Common Multiple (LCM) of 113 and 192

The least common multiple (LCM) of 113 and 192 is 21696.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 113 and 192?

First, calculate the GCD of 113 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 113 ÷ 192 = 0 remainder 113
2 192 ÷ 113 = 1 remainder 79
3 113 ÷ 79 = 1 remainder 34
4 79 ÷ 34 = 2 remainder 11
5 34 ÷ 11 = 3 remainder 1
6 11 ÷ 1 = 11 remainder 0

Examples of LCM Calculations

NumbersLCM
90 and 1828190
149 and 12017880
82 and 1024182
21 and 921932
38 and 1114218

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