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Least Common Multiple (LCM) of 107 and 171

The least common multiple (LCM) of 107 and 171 is 18297.

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 107 and 171?

First, calculate the GCD of 107 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 107 ÷ 171 = 0 remainder 107
2 171 ÷ 107 = 1 remainder 64
3 107 ÷ 64 = 1 remainder 43
4 64 ÷ 43 = 1 remainder 21
5 43 ÷ 21 = 2 remainder 1
6 21 ÷ 1 = 21 remainder 0

Examples of LCM Calculations

NumbersLCM
127 and 17221844
186 and 1263906
87 and 1323828
164 and 401640
182 and 19936218

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