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Least Common Multiple (LCM) of 38 and 71

The least common multiple (LCM) of 38 and 71 is 2698.

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 71?

First, calculate the GCD of 38 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 38 ÷ 71 = 0 remainder 38
2 71 ÷ 38 = 1 remainder 33
3 38 ÷ 33 = 1 remainder 5
4 33 ÷ 5 = 6 remainder 3
5 5 ÷ 3 = 1 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
172 and 2008600
57 and 583306
156 and 15524180
146 and 785694
46 and 1864278

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