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Least Common Multiple (LCM) of 79 and 82

The least common multiple (LCM) of 79 and 82 is 6478.

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 82?

First, calculate the GCD of 79 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 79 ÷ 82 = 0 remainder 79
2 82 ÷ 79 = 1 remainder 3
3 79 ÷ 3 = 26 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
143 and 9012870
143 and 1171287
84 and 1242604
196 and 12588
72 and 108216

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