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Least Common Multiple (LCM) of 78 and 96

The least common multiple (LCM) of 78 and 96 is 1248.

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 78 and 96?

First, calculate the GCD of 78 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 78 ÷ 96 = 0 remainder 78
2 96 ÷ 78 = 1 remainder 18
3 78 ÷ 18 = 4 remainder 6
4 18 ÷ 6 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
181 and 8014480
53 and 13689
138 and 19927462
98 and 18718326
181 and 19835838

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