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What is the Least Common Multiple of 28472 and 28479?

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 28472 and 28479 is 810854088.

LCM(28472,28479) = 810854088

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Least Common Multiple of 28472 and 28479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28472 and 28479, than apply into the LCM equation.

GCF(28472,28479) = 1
LCM(28472,28479) = ( 28472 × 28479) / 1
LCM(28472,28479) = 810854088 / 1
LCM(28472,28479) = 810854088

Least Common Multiple (LCM) of 28472 and 28479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28472 and 28479. First we will calculate the prime factors of 28472 and 28479.

Prime Factorization of 28472

Prime factors of 28472 are 2, 3559. Prime factorization of 28472 in exponential form is:

28472 = 23 × 35591

Prime Factorization of 28479

Prime factors of 28479 are 3, 11, 863. Prime factorization of 28479 in exponential form is:

28479 = 31 × 111 × 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 28472 and 28479.

LCM(28472,28479) = 23 × 35591 × 31 × 111 × 8631
LCM(28472,28479) = 810854088