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Least Common Multiple (LCM) of 20 and 28

The least common multiple (LCM) of 20 and 28 is 140.

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 20 and 28?

First, calculate the GCD of 20 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 20 ÷ 28 = 0 remainder 20
2 28 ÷ 20 = 1 remainder 8
3 20 ÷ 8 = 2 remainder 4
4 8 ÷ 4 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
185 and 17732745
58 and 441276
88 and 1521672
48 and 854080
63 and 81567

Try Calculating LCM of Other Numbers







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