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Least Common Multiple (LCM) of 61 and 117

The least common multiple (LCM) of 61 and 117 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 61 and 117?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
68 and 1439724
26 and 1481924
114 and 502850
101 and 16616766
139 and 15321267

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