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Least Common Multiple (LCM) of 24 and 13

The least common multiple (LCM) of 24 and 13 is 312.

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 13?

First, calculate the GCD of 24 and 13 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 24 ÷ 13 = 1 remainder 11
2 13 ÷ 11 = 1 remainder 2
3 11 ÷ 2 = 5 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
61 and 16910309
181 and 9817738
42 and 60420
43 and 893827
151 and 416191

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