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Least Common Multiple (LCM) of 104 and 82

The least common multiple (LCM) of 104 and 82 is 4264.

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 82?

First, calculate the GCD of 104 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 104 ÷ 82 = 1 remainder 22
2 82 ÷ 22 = 3 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
121 and 12515125
115 and 11613340
41 and 1506150
126 and 126126
166 and 10517430

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