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Least Common Multiple (LCM) of 178 and 78

The least common multiple (LCM) of 178 and 78 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 178 and 78?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
89 and 16614774
11 and 89979
23 and 801840
83 and 18215106
113 and 12313899

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