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Least Common Multiple (LCM) of 79 and 161

The least common multiple (LCM) of 79 and 161 is 12719.

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 161?

First, calculate the GCD of 79 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 79 ÷ 161 = 0 remainder 79
2 161 ÷ 79 = 2 remainder 3
3 79 ÷ 3 = 26 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
107 and 12213054
119 and 35595
84 and 24168
138 and 745106
57 and 171171

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