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What is the Least Common Multiple of 28701 and 28720?

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 28701 and 28720 is 824292720.

LCM(28701,28720) = 824292720

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Least Common Multiple of 28701 and 28720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28701 and 28720, than apply into the LCM equation.

GCF(28701,28720) = 1
LCM(28701,28720) = ( 28701 × 28720) / 1
LCM(28701,28720) = 824292720 / 1
LCM(28701,28720) = 824292720

Least Common Multiple (LCM) of 28701 and 28720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28701 and 28720. First we will calculate the prime factors of 28701 and 28720.

Prime Factorization of 28701

Prime factors of 28701 are 3, 1063. Prime factorization of 28701 in exponential form is:

28701 = 33 × 10631

Prime Factorization of 28720

Prime factors of 28720 are 2, 5, 359. Prime factorization of 28720 in exponential form is:

28720 = 24 × 51 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 28701 and 28720.

LCM(28701,28720) = 33 × 10631 × 24 × 51 × 3591
LCM(28701,28720) = 824292720