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Least Common Multiple (LCM) of 135 and 80

The least common multiple (LCM) of 135 and 80 is 2160.

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 135 and 80?

First, calculate the GCD of 135 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 135 ÷ 80 = 1 remainder 55
2 80 ÷ 55 = 1 remainder 25
3 55 ÷ 25 = 2 remainder 5
4 25 ÷ 5 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
143 and 1952145
21 and 791659
90 and 232070
200 and 10120200
198 and 1866138

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