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Least Common Multiple (LCM) of 28 and 56

The least common multiple (LCM) of 28 and 56 is 56.

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 28 and 56?

First, calculate the GCD of 28 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 28 ÷ 56 = 0 remainder 28
2 56 ÷ 28 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
48 and 1248
135 and 374995
106 and 53106
127 and 253175
14 and 23322

Try Calculating LCM of Other Numbers







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