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Least Common Multiple (LCM) of 68 and 28

The least common multiple (LCM) of 68 and 28 is 476.

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 68 and 28?

First, calculate the GCD of 68 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 68 ÷ 28 = 2 remainder 12
2 28 ÷ 12 = 2 remainder 4
3 12 ÷ 4 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
28 and 161644
171 and 417011
194 and 15014550
105 and 16717535
115 and 11413110

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