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Least Common Multiple (LCM) of 79 and 13

The least common multiple (LCM) of 79 and 13 is 1027.

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 13?

First, calculate the GCD of 79 and 13 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 79 ÷ 13 = 6 remainder 1
2 13 ÷ 1 = 13 remainder 0

Examples of LCM Calculations

NumbersLCM
102 and 1467446
167 and 6210354
195 and 20780
61 and 875307
144 and 17012240

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