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Least Common Multiple (LCM) of 137 and 129

The least common multiple (LCM) of 137 and 129 is 17673.

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 129?

First, calculate the GCD of 137 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 137 ÷ 129 = 1 remainder 8
2 129 ÷ 8 = 16 remainder 1
3 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
157 and 609420
74 and 1686216
72 and 18713464
164 and 355740
76 and 1242356

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