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Least Common Multiple (LCM) of 124 and 171

The least common multiple (LCM) of 124 and 171 is 21204.

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 124 and 171?

First, calculate the GCD of 124 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 124 ÷ 171 = 0 remainder 124
2 171 ÷ 124 = 1 remainder 47
3 124 ÷ 47 = 2 remainder 30
4 47 ÷ 30 = 1 remainder 17
5 30 ÷ 17 = 1 remainder 13
6 17 ÷ 13 = 1 remainder 4
7 13 ÷ 4 = 3 remainder 1
8 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
162 and 14523490
110 and 1453190
60 and 16910140
176 and 13411792
172 and 233956

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