HowManyNumbers Logo

Least Common Multiple (LCM) of 125 and 32

The least common multiple (LCM) of 125 and 32 is 4000.

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 32?

First, calculate the GCD of 125 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 125 ÷ 32 = 3 remainder 29
2 32 ÷ 29 = 1 remainder 3
3 29 ÷ 3 = 9 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
184 and 17416008
17 and 1202040
40 and 1275080
191 and 17333043
187 and 16029920

Try Calculating LCM of Other Numbers







Related Calculators