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Least Common Multiple (LCM) of 137 and 71

The least common multiple (LCM) of 137 and 71 is 9727.

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 137 and 71?

First, calculate the GCD of 137 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 137 ÷ 71 = 1 remainder 66
2 71 ÷ 66 = 1 remainder 5
3 66 ÷ 5 = 13 remainder 1
4 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
65 and 10130
44 and 187748
85 and 16914365
158 and 17928282
52 and 1864836

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