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Least Common Multiple (LCM) of 117 and 171

The least common multiple (LCM) of 117 and 171 is 2223.

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 171?

First, calculate the GCD of 117 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 117 ÷ 171 = 0 remainder 117
2 171 ÷ 117 = 1 remainder 54
3 117 ÷ 54 = 2 remainder 9
4 54 ÷ 9 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
149 and 14321307
125 and 1654125
149 and 202980
110 and 1246820
85 and 13911815

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