HowManyNumbers Logo

Least Common Multiple (LCM) of 66 and 125

The least common multiple (LCM) of 66 and 125 is 8250.

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 66 and 125?

First, calculate the GCD of 66 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 66 ÷ 125 = 0 remainder 66
2 125 ÷ 66 = 1 remainder 59
3 66 ÷ 59 = 1 remainder 7
4 59 ÷ 7 = 8 remainder 3
5 7 ÷ 3 = 2 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
38 and 1322508
107 and 747918
200 and 561400
116 and 151740
182 and 11810738

Try Calculating LCM of Other Numbers







Related Calculators