HowManyNumbers Logo

Least Common Multiple (LCM) of 82 and 130

The least common multiple (LCM) of 82 and 130 is 5330.

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 82 and 130?

First, calculate the GCD of 82 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 82 ÷ 130 = 0 remainder 82
2 130 ÷ 82 = 1 remainder 48
3 82 ÷ 48 = 1 remainder 34
4 48 ÷ 34 = 1 remainder 14
5 34 ÷ 14 = 2 remainder 6
6 14 ÷ 6 = 2 remainder 2
7 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
177 and 111947
88 and 1188
53 and 11583
137 and 12617262
143 and 18426312

Try Calculating LCM of Other Numbers







Related Calculators