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Least Common Multiple (LCM) of 120 and 168

The least common multiple (LCM) of 120 and 168 is 840.

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 120 and 168?

First, calculate the GCD of 120 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 120 ÷ 168 = 0 remainder 120
2 168 ÷ 120 = 1 remainder 48
3 120 ÷ 48 = 2 remainder 24
4 48 ÷ 24 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
120 and 261560
12 and 1331596
161 and 15925599
134 and 17411658
14 and 1852590

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