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Least Common Multiple (LCM) of 178 and 56

The least common multiple (LCM) of 178 and 56 is 4984.

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 56?

First, calculate the GCD of 178 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 178 ÷ 56 = 3 remainder 10
2 56 ÷ 10 = 5 remainder 6
3 10 ÷ 6 = 1 remainder 4
4 6 ÷ 4 = 1 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
159 and 18228938
38 and 18342
154 and 1088316
108 and 661188
190 and 17616720

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