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Least Common Multiple (LCM) of 80 and 128

The least common multiple (LCM) of 80 and 128 is 640.

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 80 and 128?

First, calculate the GCD of 80 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 80 ÷ 128 = 0 remainder 80
2 128 ÷ 80 = 1 remainder 48
3 80 ÷ 48 = 1 remainder 32
4 48 ÷ 32 = 1 remainder 16
5 32 ÷ 16 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
38 and 7676
171 and 19511115
71 and 886248
20 and 88440
80 and 1987920

Try Calculating LCM of Other Numbers







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