HowManyNumbers Logo

Least Common Multiple (LCM) of 168 and 125

The least common multiple (LCM) of 168 and 125 is 21000.

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 168 and 125?

First, calculate the GCD of 168 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 168 ÷ 125 = 1 remainder 43
2 125 ÷ 43 = 2 remainder 39
3 43 ÷ 39 = 1 remainder 4
4 39 ÷ 4 = 9 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
112 and 9710864
81 and 1504050
122 and 8510370
199 and 6412736
12 and 160480

Try Calculating LCM of Other Numbers







Related Calculators