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Least Common Multiple (LCM) of 117 and 61

The least common multiple (LCM) of 117 and 61 is 7137.

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 117 and 61?

First, calculate the GCD of 117 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 117 ÷ 61 = 1 remainder 56
2 61 ÷ 56 = 1 remainder 5
3 56 ÷ 5 = 11 remainder 1
4 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
73 and 1067738
169 and 9616224
159 and 294611
136 and 152040
105 and 535565

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