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Least Common Multiple (LCM) of 44 and 28

The least common multiple (LCM) of 44 and 28 is 308.

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 44 and 28?

First, calculate the GCD of 44 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 44 ÷ 28 = 1 remainder 16
2 28 ÷ 16 = 1 remainder 12
3 16 ÷ 12 = 1 remainder 4
4 12 ÷ 4 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
152 and 17927208
159 and 663498
33 and 1021122
94 and 281316
115 and 138690

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