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Least Common Multiple (LCM) of 56 and 178

The least common multiple (LCM) of 56 and 178 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 56 and 178?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
200 and 924600
18 and 92828
79 and 19215168
168 and 491176
192 and 356720

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