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Least Common Multiple (LCM) of 20 and 112

The least common multiple (LCM) of 20 and 112 is 560.

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 112?

First, calculate the GCD of 20 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 20 ÷ 112 = 0 remainder 20
2 112 ÷ 20 = 5 remainder 12
3 20 ÷ 12 = 1 remainder 8
4 12 ÷ 8 = 1 remainder 4
5 8 ÷ 4 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
188 and 112068
151 and 10616006
22 and 1032266
33 and 14462
179 and 11220048

Try Calculating LCM of Other Numbers







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