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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
86 and 903870
115 and 13315295
185 and 122220
74 and 15311322
153 and 811377

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