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Least Common Multiple (LCM) of 125 and 168

The least common multiple (LCM) of 125 and 168 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 125 and 168?

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

Step-by-Step GCD Calculation

StepCalculation
1 125 ÷ 168 = 0 remainder 125
2 168 ÷ 125 = 1 remainder 43
3 125 ÷ 43 = 2 remainder 39
4 43 ÷ 39 = 1 remainder 4
5 39 ÷ 4 = 9 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
146 and 17612848
103 and 15616068
112 and 1629072
179 and 488592
57 and 24456

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