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Least Common Multiple (LCM) of 126 and 104

The least common multiple (LCM) of 126 and 104 is 6552.

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 104?

First, calculate the GCD of 126 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 126 ÷ 104 = 1 remainder 22
2 104 ÷ 22 = 4 remainder 16
3 22 ÷ 16 = 1 remainder 6
4 16 ÷ 6 = 2 remainder 4
5 6 ÷ 4 = 1 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
32 and 84672
30 and 135270
167 and 15125217
16 and 1091744
85 and 1139605

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