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LCM (G Dataflow)

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Last Modified: January 12, 2018

Computes the least common multiple of the input values.

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x

An integer.

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y

An integer.

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LCM(x, y)

Least common multiple of x and y.

Algorithm for Computing the Least Common Multiple

LCM(x,y) is the smallest integer m for which there exist integers c and d such that

x × c = y × d = m

To compute LCM(x,y), consider the prime factorizations of x and y:

x = ∏ i p i a i
y = ∏ i p i b i

where p i are all the prime factors of x and y. If p i does not occur in a factorization, the corresponding exponent is 0. LCM(x,y) then is given by:

LCM ( x , y ) = ∏ i p i max ⁡ ( a i , b i )

The prime factorizations of 12 and 30 are given by:

12 = 2 2 × 3 1 × 5 0
30 = 2 1 × 3 1 × 5 1

so

LCM ( 12 , 30 ) = 2 2 × 3 1 × 5 1 = 60

Where This Node Can Run:

Desktop OS: Windows

FPGA: Not supported

Web Server: Not supported in VIs that run in a web application

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