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Least Common Multiple (LCM) of 192 and 78

The least common multiple (LCM) of 192 and 78 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 192 and 78?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
166 and 559130
133 and 233059
119 and 15818802
161 and 416601
44 and 99396

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