HowManyNumbers Logo

Least Common Multiple (LCM) of 130 and 30

The least common multiple (LCM) of 130 and 30 is 390.

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 30?

First, calculate the GCD of 130 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 130 ÷ 30 = 4 remainder 10
2 30 ÷ 10 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
18 and 1461314
177 and 9116107
15 and 22330
134 and 1067102
87 and 692001

Try Calculating LCM of Other Numbers







Related Calculators