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Least Common Multiple (LCM) of 72 and 96

The least common multiple (LCM) of 72 and 96 is 288.

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 96?

First, calculate the GCD of 72 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 72 ÷ 96 = 0 remainder 72
2 96 ÷ 72 = 1 remainder 24
3 72 ÷ 24 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
103 and 13313699
105 and 1746090
100 and 882200
172 and 132236
177 and 18532745

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