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Least Common Multiple (LCM) of 168 and 120

The least common multiple (LCM) of 168 and 120 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 168 and 120?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
51 and 48816
132 and 503300
125 and 100500
39 and 1261638
147 and 21147

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