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What is the Least Common Multiple of 27576 and 27585?

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 27576 and 27585 is 84520440.

LCM(27576,27585) = 84520440

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Least Common Multiple of 27576 and 27585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27576 and 27585, than apply into the LCM equation.

GCF(27576,27585) = 9
LCM(27576,27585) = ( 27576 × 27585) / 9
LCM(27576,27585) = 760683960 / 9
LCM(27576,27585) = 84520440

Least Common Multiple (LCM) of 27576 and 27585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27576 and 27585. First we will calculate the prime factors of 27576 and 27585.

Prime Factorization of 27576

Prime factors of 27576 are 2, 3, 383. Prime factorization of 27576 in exponential form is:

27576 = 23 × 32 × 3831

Prime Factorization of 27585

Prime factors of 27585 are 3, 5, 613. Prime factorization of 27585 in exponential form is:

27585 = 32 × 51 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 27576 and 27585.

LCM(27576,27585) = 23 × 32 × 3831 × 51 × 6131
LCM(27576,27585) = 84520440