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Least Common Multiple (LCM) of 126 and 171

The least common multiple (LCM) of 126 and 171 is 2394.

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 126 and 171?

First, calculate the GCD of 126 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 126 ÷ 171 = 0 remainder 126
2 171 ÷ 126 = 1 remainder 45
3 126 ÷ 45 = 2 remainder 36
4 45 ÷ 36 = 1 remainder 9
5 36 ÷ 9 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
86 and 1807740
154 and 1822002
193 and 244632
192 and 1042496
33 and 1605280

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