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Least Common Multiple (LCM) of 72 and 88

The least common multiple (LCM) of 72 and 88 is 792.

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 72 and 88?

First, calculate the GCD of 72 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 72 ÷ 88 = 0 remainder 72
2 88 ÷ 72 = 1 remainder 16
3 72 ÷ 16 = 4 remainder 8
4 16 ÷ 8 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
52 and 1744524
177 and 14826196
186 and 417626
132 and 1717524
106 and 261378

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