HowManyNumbers Logo

Least Common Multiple (LCM) of 96 and 130

The least common multiple (LCM) of 96 and 130 is 6240.

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 96 and 130?

First, calculate the GCD of 96 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 96 ÷ 130 = 0 remainder 96
2 130 ÷ 96 = 1 remainder 34
3 96 ÷ 34 = 2 remainder 28
4 34 ÷ 28 = 1 remainder 6
5 28 ÷ 6 = 4 remainder 4
6 6 ÷ 4 = 1 remainder 2
7 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
124 and 1549548
94 and 13112314
174 and 1056090
177 and 7613452
166 and 18130046

Try Calculating LCM of Other Numbers







Related Calculators