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Least Common Multiple (LCM) of 79 and 48

The least common multiple (LCM) of 79 and 48 is 3792.

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 48?

First, calculate the GCD of 79 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 79 ÷ 48 = 1 remainder 31
2 48 ÷ 31 = 1 remainder 17
3 31 ÷ 17 = 1 remainder 14
4 17 ÷ 14 = 1 remainder 3
5 14 ÷ 3 = 4 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
114 and 171938
165 and 1705610
53 and 1688904
156 and 1718892
149 and 416109

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