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Least Common Multiple (LCM) of 81 and 157

The least common multiple (LCM) of 81 and 157 is 12717.

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 81 and 157?

First, calculate the GCD of 81 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 81 ÷ 157 = 0 remainder 81
2 157 ÷ 81 = 1 remainder 76
3 81 ÷ 76 = 1 remainder 5
4 76 ÷ 5 = 15 remainder 1
5 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
118 and 172006
33 and 1334389
195 and 19137245
62 and 11682
69 and 1142622

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