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Least Common Multiple (LCM) of 178 and 124

The least common multiple (LCM) of 178 and 124 is 11036.

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 124?

First, calculate the GCD of 178 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 178 ÷ 124 = 1 remainder 54
2 124 ÷ 54 = 2 remainder 16
3 54 ÷ 16 = 3 remainder 6
4 16 ÷ 6 = 2 remainder 4
5 6 ÷ 4 = 1 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
139 and 15421406
11 and 961056
115 and 15217480
22 and 1573454
97 and 656305

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