HowManyNumbers Logo

Least Common Multiple (LCM) of 131 and 192

The least common multiple (LCM) of 131 and 192 is 25152.

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 131 and 192?

First, calculate the GCD of 131 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 131 ÷ 192 = 0 remainder 131
2 192 ÷ 131 = 1 remainder 61
3 131 ÷ 61 = 2 remainder 9
4 61 ÷ 9 = 6 remainder 7
5 9 ÷ 7 = 1 remainder 2
6 7 ÷ 2 = 3 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
192 and 1745568
107 and 12613482
110 and 18320130
181 and 14125521
166 and 19416102

Try Calculating LCM of Other Numbers







Related Calculators