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What is the Least Common Multiple of 28713 and 28728?

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 28713 and 28728 is 274955688.

LCM(28713,28728) = 274955688

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Least Common Multiple of 28713 and 28728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28713 and 28728, than apply into the LCM equation.

GCF(28713,28728) = 3
LCM(28713,28728) = ( 28713 × 28728) / 3
LCM(28713,28728) = 824867064 / 3
LCM(28713,28728) = 274955688

Least Common Multiple (LCM) of 28713 and 28728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28713 and 28728. First we will calculate the prime factors of 28713 and 28728.

Prime Factorization of 28713

Prime factors of 28713 are 3, 17, 563. Prime factorization of 28713 in exponential form is:

28713 = 31 × 171 × 5631

Prime Factorization of 28728

Prime factors of 28728 are 2, 3, 7, 19. Prime factorization of 28728 in exponential form is:

28728 = 23 × 33 × 71 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 28713 and 28728.

LCM(28713,28728) = 33 × 171 × 5631 × 23 × 71 × 191
LCM(28713,28728) = 274955688