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Least Common Multiple (LCM) of 157 and 131

The least common multiple (LCM) of 157 and 131 is 20567.

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 157 and 131?

First, calculate the GCD of 157 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 157 ÷ 131 = 1 remainder 26
2 131 ÷ 26 = 5 remainder 1
3 26 ÷ 1 = 26 remainder 0

Examples of LCM Calculations

NumbersLCM
75 and 19114325
95 and 901710
86 and 1285504
57 and 133399
46 and 1242852

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