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Least Common Multiple (LCM) of 130 and 186

The least common multiple (LCM) of 130 and 186 is 12090.

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 130 and 186?

First, calculate the GCD of 130 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 130 ÷ 186 = 0 remainder 130
2 186 ÷ 130 = 1 remainder 56
3 130 ÷ 56 = 2 remainder 18
4 56 ÷ 18 = 3 remainder 2
5 18 ÷ 2 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
84 and 1141596
120 and 1415640
198 and 16933462
135 and 19626460
180 and 12180

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