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Least Common Multiple (LCM) of 38 and 44

The least common multiple (LCM) of 38 and 44 is 836.

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 44?

First, calculate the GCD of 38 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 38 ÷ 44 = 0 remainder 38
2 44 ÷ 38 = 1 remainder 6
3 38 ÷ 6 = 6 remainder 2
4 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
154 and 17326642
132 and 110660
54 and 1558370
77 and 413157
158 and 13210428

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