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Least Common Multiple (LCM) of 137 and 80

The least common multiple (LCM) of 137 and 80 is 10960.

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 80?

First, calculate the GCD of 137 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 137 ÷ 80 = 1 remainder 57
2 80 ÷ 57 = 1 remainder 23
3 57 ÷ 23 = 2 remainder 11
4 23 ÷ 11 = 2 remainder 1
5 11 ÷ 1 = 11 remainder 0

Examples of LCM Calculations

NumbersLCM
98 and 582842
90 and 36180
16 and 49784
150 and 18213650
37 and 1786586

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