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Least Common Multiple (LCM) of 67 and 80

The least common multiple (LCM) of 67 and 80 is 5360.

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 67 and 80?

First, calculate the GCD of 67 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 67 ÷ 80 = 0 remainder 67
2 80 ÷ 67 = 1 remainder 13
3 67 ÷ 13 = 5 remainder 2
4 13 ÷ 2 = 6 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
27 and 29783
85 and 153765
41 and 19779
24 and 1881128
186 and 9116926

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