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Least Common Multiple (LCM) of 160 and 83

The least common multiple (LCM) of 160 and 83 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 160 and 83?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
46 and 1356210
153 and 1701530
195 and 12424180
145 and 11716965
86 and 937998

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