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What is the Least Common Multiple of 28566 and 28584?

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 28566 and 28584 is 45362808.

LCM(28566,28584) = 45362808

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Least Common Multiple of 28566 and 28584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28566 and 28584, than apply into the LCM equation.

GCF(28566,28584) = 18
LCM(28566,28584) = ( 28566 × 28584) / 18
LCM(28566,28584) = 816530544 / 18
LCM(28566,28584) = 45362808

Least Common Multiple (LCM) of 28566 and 28584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28566 and 28584. First we will calculate the prime factors of 28566 and 28584.

Prime Factorization of 28566

Prime factors of 28566 are 2, 3, 23. Prime factorization of 28566 in exponential form is:

28566 = 21 × 33 × 232

Prime Factorization of 28584

Prime factors of 28584 are 2, 3, 397. Prime factorization of 28584 in exponential form is:

28584 = 23 × 32 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 28566 and 28584.

LCM(28566,28584) = 23 × 33 × 232 × 3971
LCM(28566,28584) = 45362808