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What is the Least Common Multiple of 28489 and 28498?

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 28489 and 28498 is 811879522.

LCM(28489,28498) = 811879522

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Least Common Multiple of 28489 and 28498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28489 and 28498, than apply into the LCM equation.

GCF(28489,28498) = 1
LCM(28489,28498) = ( 28489 × 28498) / 1
LCM(28489,28498) = 811879522 / 1
LCM(28489,28498) = 811879522

Least Common Multiple (LCM) of 28489 and 28498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28489 and 28498. First we will calculate the prime factors of 28489 and 28498.

Prime Factorization of 28489

Prime factors of 28489 are 31, 919. Prime factorization of 28489 in exponential form is:

28489 = 311 × 9191

Prime Factorization of 28498

Prime factors of 28498 are 2, 14249. Prime factorization of 28498 in exponential form is:

28498 = 21 × 142491

Now multiplying the highest exponent prime factors to calculate the LCM of 28489 and 28498.

LCM(28489,28498) = 311 × 9191 × 21 × 142491
LCM(28489,28498) = 811879522