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What is the Least Common Multiple of 28474 and 28489?

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 28474 and 28489 is 811195786.

LCM(28474,28489) = 811195786

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Least Common Multiple of 28474 and 28489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28474 and 28489, than apply into the LCM equation.

GCF(28474,28489) = 1
LCM(28474,28489) = ( 28474 × 28489) / 1
LCM(28474,28489) = 811195786 / 1
LCM(28474,28489) = 811195786

Least Common Multiple (LCM) of 28474 and 28489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28474 and 28489. First we will calculate the prime factors of 28474 and 28489.

Prime Factorization of 28474

Prime factors of 28474 are 2, 23, 619. Prime factorization of 28474 in exponential form is:

28474 = 21 × 231 × 6191

Prime Factorization of 28489

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

28489 = 311 × 9191

Now multiplying the highest exponent prime factors to calculate the LCM of 28474 and 28489.

LCM(28474,28489) = 21 × 231 × 6191 × 311 × 9191
LCM(28474,28489) = 811195786