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What is the Least Common Multiple of 28576 and 28590?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 28576 and 28590 is 408493920.

LCM(28576,28590) = 408493920

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Least Common Multiple of 28576 and 28590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28576 and 28590, than apply into the LCM equation.

GCF(28576,28590) = 2
LCM(28576,28590) = ( 28576 × 28590) / 2
LCM(28576,28590) = 816987840 / 2
LCM(28576,28590) = 408493920

Least Common Multiple (LCM) of 28576 and 28590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28576 and 28590. First we will calculate the prime factors of 28576 and 28590.

Prime Factorization of 28576

Prime factors of 28576 are 2, 19, 47. Prime factorization of 28576 in exponential form is:

28576 = 25 × 191 × 471

Prime Factorization of 28590

Prime factors of 28590 are 2, 3, 5, 953. Prime factorization of 28590 in exponential form is:

28590 = 21 × 31 × 51 × 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 28576 and 28590.

LCM(28576,28590) = 25 × 191 × 471 × 31 × 51 × 9531
LCM(28576,28590) = 408493920