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Least Common Multiple (LCM) of 78 and 192

The least common multiple (LCM) of 78 and 192 is 2496.

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 192?

First, calculate the GCD of 78 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 78 ÷ 192 = 0 remainder 78
2 192 ÷ 78 = 2 remainder 36
3 78 ÷ 36 = 2 remainder 6
4 36 ÷ 6 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
174 and 1116438
153 and 482448
130 and 314030
133 and 689044
95 and 16815960

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