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Least Common Multiple (LCM) of 130 and 148

The least common multiple (LCM) of 130 and 148 is 9620.

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 148?

First, calculate the GCD of 130 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 130 ÷ 148 = 0 remainder 130
2 148 ÷ 130 = 1 remainder 18
3 130 ÷ 18 = 7 remainder 4
4 18 ÷ 4 = 4 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
91 and 585278
61 and 573477
187 and 213927
185 and 13424790
39 and 24312

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