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Least Common Multiple (LCM) of 44 and 18

The least common multiple (LCM) of 44 and 18 is 396.

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 18?

First, calculate the GCD of 44 and 18 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 44 ÷ 18 = 2 remainder 8
2 18 ÷ 8 = 2 remainder 2
3 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
196 and 17133516
174 and 29174
131 and 395109
88 and 8888
56 and 1464088

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