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Least Common Multiple (LCM) of 54 and 88

The least common multiple (LCM) of 54 and 88 is 2376.

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 88?

First, calculate the GCD of 54 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 54 ÷ 88 = 0 remainder 54
2 88 ÷ 54 = 1 remainder 34
3 54 ÷ 34 = 1 remainder 20
4 34 ÷ 20 = 1 remainder 14
5 20 ÷ 14 = 1 remainder 6
6 14 ÷ 6 = 2 remainder 2
7 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
131 and 577467
180 and 551980
147 and 558085
122 and 576954
25 and 1934825

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