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Least Common Multiple (LCM) of 100 and 60

The least common multiple (LCM) of 100 and 60 is 300.

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 100 and 60?

First, calculate the GCD of 100 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 100 ÷ 60 = 1 remainder 40
2 60 ÷ 40 = 1 remainder 20
3 40 ÷ 20 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
52 and 19910348
11 and 1661826
94 and 17916826
181 and 295249
123 and 17221156

Try Calculating LCM of Other Numbers







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