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Least Common Multiple (LCM) of 78 and 178

The least common multiple (LCM) of 78 and 178 is 6942.

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 178?

First, calculate the GCD of 78 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 78 ÷ 178 = 0 remainder 78
2 178 ÷ 78 = 2 remainder 22
3 78 ÷ 22 = 3 remainder 12
4 22 ÷ 12 = 1 remainder 10
5 12 ÷ 10 = 1 remainder 2
6 10 ÷ 2 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
121 and 455445
80 and 1038240
149 and 152235
47 and 1135311
44 and 532332

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