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Least Common Multiple (LCM) of 79 and 167

The least common multiple (LCM) of 79 and 167 is 13193.

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 167?

First, calculate the GCD of 79 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 79 ÷ 167 = 0 remainder 79
2 167 ÷ 79 = 2 remainder 9
3 79 ÷ 9 = 8 remainder 7
4 9 ÷ 7 = 1 remainder 2
5 7 ÷ 2 = 3 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
71 and 664686
69 and 684692
93 and 141302
121 and 17921659
74 and 1184366

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