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Least Common Multiple (LCM) of 88 and 72

The least common multiple (LCM) of 88 and 72 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 88 and 72?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
180 and 108540
84 and 35420
50 and 1075350
43 and 1094687
20 and 1593180

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