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Least Common Multiple (LCM) of 126 and 141

The least common multiple (LCM) of 126 and 141 is 5922.

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 141?

First, calculate the GCD of 126 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 126 ÷ 141 = 0 remainder 126
2 141 ÷ 126 = 1 remainder 15
3 126 ÷ 15 = 8 remainder 6
4 15 ÷ 6 = 2 remainder 3
5 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
46 and 1623726
53 and 1849752
146 and 213066
174 and 1719918
131 and 9712707

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