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Least Common Multiple (LCM) of 38 and 21

The least common multiple (LCM) of 38 and 21 is 798.

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 38 and 21?

First, calculate the GCD of 38 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 38 ÷ 21 = 1 remainder 17
2 21 ÷ 17 = 1 remainder 4
3 17 ÷ 4 = 4 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
197 and 17033490
18 and 26234
45 and 1828190
78 and 1279906
176 and 867568

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