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Least Common Multiple (LCM) of 108 and 135

The least common multiple (LCM) of 108 and 135 is 540.

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 108 and 135?

First, calculate the GCD of 108 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 108 ÷ 135 = 0 remainder 108
2 135 ÷ 108 = 1 remainder 27
3 108 ÷ 27 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
70 and 7070
68 and 702380
115 and 18321045
130 and 16610790
188 and 11410716

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