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What is the Least Common Multiple of 28476 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 28476 and 28489 is 811252764.

LCM(28476,28489) = 811252764

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Least Common Multiple of 28476 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 28476 and 28489, than apply into the LCM equation.

GCF(28476,28489) = 1
LCM(28476,28489) = ( 28476 × 28489) / 1
LCM(28476,28489) = 811252764 / 1
LCM(28476,28489) = 811252764

Least Common Multiple (LCM) of 28476 and 28489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28476 and 28489. First we will calculate the prime factors of 28476 and 28489.

Prime Factorization of 28476

Prime factors of 28476 are 2, 3, 7, 113. Prime factorization of 28476 in exponential form is:

28476 = 22 × 32 × 71 × 1131

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 28476 and 28489.

LCM(28476,28489) = 22 × 32 × 71 × 1131 × 311 × 9191
LCM(28476,28489) = 811252764