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Least Common Multiple (LCM) of 25 and 137

The least common multiple (LCM) of 25 and 137 is 3425.

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 25 and 137?

First, calculate the GCD of 25 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 25 ÷ 137 = 0 remainder 25
2 137 ÷ 25 = 5 remainder 12
3 25 ÷ 12 = 2 remainder 1
4 12 ÷ 1 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
81 and 54162
175 and 14124675
194 and 403880
97 and 615917
20 and 1633260

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