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Least Common Multiple (LCM) of 126 and 146

The least common multiple (LCM) of 126 and 146 is 9198.

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 146?

First, calculate the GCD of 126 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 126 ÷ 146 = 0 remainder 126
2 146 ÷ 126 = 1 remainder 20
3 126 ÷ 20 = 6 remainder 6
4 20 ÷ 6 = 3 remainder 2
5 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
156 and 874524
79 and 332607
88 and 1064664
59 and 13767
125 and 698625

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