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Least Common Multiple (LCM) of 181 and 130

The least common multiple (LCM) of 181 and 130 is 23530.

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 181 and 130?

First, calculate the GCD of 181 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 181 ÷ 130 = 1 remainder 51
2 130 ÷ 51 = 2 remainder 28
3 51 ÷ 28 = 1 remainder 23
4 28 ÷ 23 = 1 remainder 5
5 23 ÷ 5 = 4 remainder 3
6 5 ÷ 3 = 1 remainder 2
7 3 ÷ 2 = 1 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
134 and 1167772
14 and 39546
15 and 185555
113 and 202260
115 and 667590

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