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Least Common Multiple (LCM) of 25 and 136

The least common multiple (LCM) of 25 and 136 is 3400.

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 136?

First, calculate the GCD of 25 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 25 ÷ 136 = 0 remainder 25
2 136 ÷ 25 = 5 remainder 11
3 25 ÷ 11 = 2 remainder 3
4 11 ÷ 3 = 3 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
128 and 583712
198 and 165990
143 and 8211726
89 and 1119879
54 and 1953510

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