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Least Common Multiple (LCM) of 135 and 117

The least common multiple (LCM) of 135 and 117 is 1755.

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 117?

First, calculate the GCD of 135 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 135 ÷ 117 = 1 remainder 18
2 117 ÷ 18 = 6 remainder 9
3 18 ÷ 9 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
29 and 1955655
140 and 1902660
42 and 1921344
183 and 1358235
178 and 17215308

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