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Least Common Multiple (LCM) of 179 and 19

The least common multiple (LCM) of 179 and 19 is 3401.

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 179 and 19?

First, calculate the GCD of 179 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 179 ÷ 19 = 9 remainder 8
2 19 ÷ 8 = 2 remainder 3
3 8 ÷ 3 = 2 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
185 and 13625160
118 and 603540
182 and 17616016
12 and 82492
132 and 15810428

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