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Least Common Multiple (LCM) of 56 and 112

The least common multiple (LCM) of 56 and 112 is 112.

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 56 and 112?

First, calculate the GCD of 56 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 56 ÷ 112 = 0 remainder 56
2 112 ÷ 56 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
120 and 192280
113 and 9610848
32 and 15480
12 and 117468
116 and 1106380

Try Calculating LCM of Other Numbers







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