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Least Common Multiple (LCM) of 126 and 74

The least common multiple (LCM) of 126 and 74 is 4662.

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 74?

First, calculate the GCD of 126 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 126 ÷ 74 = 1 remainder 52
2 74 ÷ 52 = 1 remainder 22
3 52 ÷ 22 = 2 remainder 8
4 22 ÷ 8 = 2 remainder 6
5 8 ÷ 6 = 1 remainder 2
6 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
188 and 7514100
139 and 15221128
39 and 841092
74 and 381406
102 and 136408

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