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Least Common Multiple (LCM) of 135 and 54

The least common multiple (LCM) of 135 and 54 is 270.

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 135 and 54?

First, calculate the GCD of 135 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 135 ÷ 54 = 2 remainder 27
2 54 ÷ 27 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
135 and 14920115
79 and 695451
44 and 954180
135 and 13918765
125 and 17822250

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