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Least Common Multiple (LCM) of 24 and 38

The least common multiple (LCM) of 24 and 38 is 456.

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 38?

First, calculate the GCD of 24 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 24 ÷ 38 = 0 remainder 24
2 38 ÷ 24 = 1 remainder 14
3 24 ÷ 14 = 1 remainder 10
4 14 ÷ 10 = 1 remainder 4
5 10 ÷ 4 = 2 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
86 and 1546622
100 and 40200
13 and 44572
99 and 989702
127 and 546858

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