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Least Common Multiple (LCM) of 57 and 157

The least common multiple (LCM) of 57 and 157 is 8949.

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 57 and 157?

First, calculate the GCD of 57 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 57 ÷ 157 = 0 remainder 57
2 157 ÷ 57 = 2 remainder 43
3 57 ÷ 43 = 1 remainder 14
4 43 ÷ 14 = 3 remainder 1
5 14 ÷ 1 = 14 remainder 0

Examples of LCM Calculations

NumbersLCM
36 and 913276
57 and 553135
167 and 17929893
172 and 19016340
62 and 734526

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