HowManyNumbers Logo

Least Common Multiple (LCM) of 191 and 130

The least common multiple (LCM) of 191 and 130 is 24830.

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 191 and 130?

First, calculate the GCD of 191 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 191 ÷ 130 = 1 remainder 61
2 130 ÷ 61 = 2 remainder 8
3 61 ÷ 8 = 7 remainder 5
4 8 ÷ 5 = 1 remainder 3
5 5 ÷ 3 = 1 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
185 and 13424790
104 and 623224
180 and 1418460
37 and 1354995
138 and 1142622

Try Calculating LCM of Other Numbers







Related Calculators