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What is the Least Common Multiple of 28479 and 28494?

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 28479 and 28494 is 270493542.

LCM(28479,28494) = 270493542

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Least Common Multiple of 28479 and 28494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28479 and 28494, than apply into the LCM equation.

GCF(28479,28494) = 3
LCM(28479,28494) = ( 28479 × 28494) / 3
LCM(28479,28494) = 811480626 / 3
LCM(28479,28494) = 270493542

Least Common Multiple (LCM) of 28479 and 28494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28479 and 28494. First we will calculate the prime factors of 28479 and 28494.

Prime Factorization of 28479

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

28479 = 31 × 111 × 8631

Prime Factorization of 28494

Prime factors of 28494 are 2, 3, 1583. Prime factorization of 28494 in exponential form is:

28494 = 21 × 32 × 15831

Now multiplying the highest exponent prime factors to calculate the LCM of 28479 and 28494.

LCM(28479,28494) = 32 × 111 × 8631 × 21 × 15831
LCM(28479,28494) = 270493542