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Least Common Multiple (LCM) of 129 and 135

The least common multiple (LCM) of 129 and 135 is 5805.

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 129 and 135?

First, calculate the GCD of 129 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 129 ÷ 135 = 0 remainder 129
2 135 ÷ 129 = 1 remainder 6
3 129 ÷ 6 = 21 remainder 3
4 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
30 and 1815430
185 and 148740
196 and 112156
55 and 231265
167 and 254175

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