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What is the Least Common Multiple of 93576 and 93588?

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 93576 and 93588 is 729799224.

LCM(93576,93588) = 729799224

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Least Common Multiple of 93576 and 93588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93576 and 93588, than apply into the LCM equation.

GCF(93576,93588) = 12
LCM(93576,93588) = ( 93576 × 93588) / 12
LCM(93576,93588) = 8757590688 / 12
LCM(93576,93588) = 729799224

Least Common Multiple (LCM) of 93576 and 93588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93576 and 93588. First we will calculate the prime factors of 93576 and 93588.

Prime Factorization of 93576

Prime factors of 93576 are 2, 3, 7, 557. Prime factorization of 93576 in exponential form is:

93576 = 23 × 31 × 71 × 5571

Prime Factorization of 93588

Prime factors of 93588 are 2, 3, 11, 709. Prime factorization of 93588 in exponential form is:

93588 = 22 × 31 × 111 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 93576 and 93588.

LCM(93576,93588) = 23 × 31 × 71 × 5571 × 111 × 7091
LCM(93576,93588) = 729799224