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Least Common Multiple (LCM) of 130 and 184

The least common multiple (LCM) of 130 and 184 is 11960.

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 184?

First, calculate the GCD of 130 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 130 ÷ 184 = 0 remainder 130
2 184 ÷ 130 = 1 remainder 54
3 130 ÷ 54 = 2 remainder 22
4 54 ÷ 22 = 2 remainder 10
5 22 ÷ 10 = 2 remainder 2
6 10 ÷ 2 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
70 and 963360
67 and 15010050
93 and 12211346
93 and 1143534
95 and 15614820

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