HowManyNumbers Logo

Least Common Multiple (LCM) of 57 and 184

The least common multiple (LCM) of 57 and 184 is 10488.

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 184?

First, calculate the GCD of 57 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 57 ÷ 184 = 0 remainder 57
2 184 ÷ 57 = 3 remainder 13
3 57 ÷ 13 = 4 remainder 5
4 13 ÷ 5 = 2 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
199 and 9518905
155 and 15123405
127 and 577239
36 and 46828
140 and 172380

Try Calculating LCM of Other Numbers







Related Calculators