HowManyNumbers Logo

Least Common Multiple (LCM) of 57 and 192

The least common multiple (LCM) of 57 and 192 is 3648.

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 57 and 192?

First, calculate the GCD of 57 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 57 ÷ 192 = 0 remainder 57
2 192 ÷ 57 = 3 remainder 21
3 57 ÷ 21 = 2 remainder 15
4 21 ÷ 15 = 1 remainder 6
5 15 ÷ 6 = 2 remainder 3
6 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
155 and 11217360
182 and 9717654
84 and 1353780
27 and 1494023
56 and 1317336

Try Calculating LCM of Other Numbers







Related Calculators