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Least Common Multiple (LCM) of 54 and 44

The least common multiple (LCM) of 54 and 44 is 1188.

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 54 and 44?

First, calculate the GCD of 54 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 54 ÷ 44 = 1 remainder 10
2 44 ÷ 10 = 4 remainder 4
3 10 ÷ 4 = 2 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
73 and 886424
185 and 6712395
166 and 274482
169 and 12821632
158 and 436794

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