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Least Common Multiple (LCM) of 152 and 130

The least common multiple (LCM) of 152 and 130 is 9880.

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 152 and 130?

First, calculate the GCD of 152 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 152 ÷ 130 = 1 remainder 22
2 130 ÷ 22 = 5 remainder 20
3 22 ÷ 20 = 1 remainder 2
4 20 ÷ 2 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
36 and 701260
111 and 10611766
176 and 14212496
186 and 19017670
38 and 801520

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