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Least Common Multiple (LCM) of 83 and 160

The least common multiple (LCM) of 83 and 160 is 13280.

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 83 and 160?

First, calculate the GCD of 83 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 83 ÷ 160 = 0 remainder 83
2 160 ÷ 83 = 1 remainder 77
3 83 ÷ 77 = 1 remainder 6
4 77 ÷ 6 = 12 remainder 5
5 6 ÷ 5 = 1 remainder 1
6 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
85 and 16914365
189 and 12523625
76 and 1586004
154 and 14210934
117 and 26234

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