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Least Common Multiple (LCM) of 137 and 11

The least common multiple (LCM) of 137 and 11 is 1507.

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 11?

First, calculate the GCD of 137 and 11 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 137 ÷ 11 = 12 remainder 5
2 11 ÷ 5 = 2 remainder 1
3 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
34 and 1061802
118 and 1086372
58 and 12348
103 and 12412772
158 and 11317854

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