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Least Common Multiple (LCM) of 104 and 138

The least common multiple (LCM) of 104 and 138 is 7176.

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 104 and 138?

First, calculate the GCD of 104 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 104 ÷ 138 = 0 remainder 104
2 138 ÷ 104 = 1 remainder 34
3 104 ÷ 34 = 3 remainder 2
4 34 ÷ 2 = 17 remainder 0

Examples of LCM Calculations

NumbersLCM
131 and 18323973
52 and 774004
89 and 615429
129 and 14018060
55 and 321760

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