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Least Common Multiple (LCM) of 79 and 96

The least common multiple (LCM) of 79 and 96 is 7584.

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 79 and 96?

First, calculate the GCD of 79 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 79 ÷ 96 = 0 remainder 79
2 96 ÷ 79 = 1 remainder 17
3 79 ÷ 17 = 4 remainder 11
4 17 ÷ 11 = 1 remainder 6
5 11 ÷ 6 = 1 remainder 5
6 6 ÷ 5 = 1 remainder 1
7 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
105 and 677035
100 and 50100
128 and 422688
173 and 10518165
105 and 1234305

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