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What is the Least Common Multiple of 28581 and 28585?

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 28581 and 28585 is 816987885.

LCM(28581,28585) = 816987885

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Least Common Multiple of 28581 and 28585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28581 and 28585, than apply into the LCM equation.

GCF(28581,28585) = 1
LCM(28581,28585) = ( 28581 × 28585) / 1
LCM(28581,28585) = 816987885 / 1
LCM(28581,28585) = 816987885

Least Common Multiple (LCM) of 28581 and 28585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28581 and 28585. First we will calculate the prime factors of 28581 and 28585.

Prime Factorization of 28581

Prime factors of 28581 are 3, 7, 1361. Prime factorization of 28581 in exponential form is:

28581 = 31 × 71 × 13611

Prime Factorization of 28585

Prime factors of 28585 are 5, 5717. Prime factorization of 28585 in exponential form is:

28585 = 51 × 57171

Now multiplying the highest exponent prime factors to calculate the LCM of 28581 and 28585.

LCM(28581,28585) = 31 × 71 × 13611 × 51 × 57171
LCM(28581,28585) = 816987885