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Least Common Multiple (LCM) of 24 and 168

The least common multiple (LCM) of 24 and 168 is 168.

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 24 and 168?

First, calculate the GCD of 24 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 24 ÷ 168 = 0 remainder 24
2 168 ÷ 24 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
148 and 659620
166 and 544482
54 and 691242
102 and 30510
173 and 9316089

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