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Least Common Multiple (LCM) of 136 and 25

The least common multiple (LCM) of 136 and 25 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 136 and 25?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
90 and 1601440
191 and 12924639
149 and 11517135
126 and 1401260
66 and 77462

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