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Least Common Multiple (LCM) of 38 and 43

The least common multiple (LCM) of 38 and 43 is 1634.

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 43?

First, calculate the GCD of 38 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 38 ÷ 43 = 0 remainder 38
2 43 ÷ 38 = 1 remainder 5
3 38 ÷ 5 = 7 remainder 3
4 5 ÷ 3 = 1 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
182 and 35910
99 and 90990
65 and 221430
163 and 10216626
13 and 57741

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