HowManyNumbers Logo

Least Common Multiple (LCM) of 125 and 178

The least common multiple (LCM) of 125 and 178 is 22250.

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 125 and 178?

First, calculate the GCD of 125 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 125 ÷ 178 = 0 remainder 125
2 178 ÷ 125 = 1 remainder 53
3 125 ÷ 53 = 2 remainder 19
4 53 ÷ 19 = 2 remainder 15
5 19 ÷ 15 = 1 remainder 4
6 15 ÷ 4 = 3 remainder 3
7 4 ÷ 3 = 1 remainder 1
8 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
199 and 8316517
159 and 15795
164 and 18730668
28 and 1141596
10 and 1631630

Try Calculating LCM of Other Numbers







Related Calculators