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Least Common Multiple (LCM) of 36 and 157

The least common multiple (LCM) of 36 and 157 is 5652.

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 36 and 157?

First, calculate the GCD of 36 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 36 ÷ 157 = 0 remainder 36
2 157 ÷ 36 = 4 remainder 13
3 36 ÷ 13 = 2 remainder 10
4 13 ÷ 10 = 1 remainder 3
5 10 ÷ 3 = 3 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
38 and 661254
107 and 16217334
103 and 12612978
192 and 875568
83 and 1038549

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