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What is the Least Common Multiple of 93573 and 93589?

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 93573 and 93589 is 8757403497.

LCM(93573,93589) = 8757403497

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Least Common Multiple of 93573 and 93589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93573 and 93589, than apply into the LCM equation.

GCF(93573,93589) = 1
LCM(93573,93589) = ( 93573 × 93589) / 1
LCM(93573,93589) = 8757403497 / 1
LCM(93573,93589) = 8757403497

Least Common Multiple (LCM) of 93573 and 93589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93573 and 93589. First we will calculate the prime factors of 93573 and 93589.

Prime Factorization of 93573

Prime factors of 93573 are 3, 37, 281. Prime factorization of 93573 in exponential form is:

93573 = 32 × 371 × 2811

Prime Factorization of 93589

Prime factors of 93589 are 31, 3019. Prime factorization of 93589 in exponential form is:

93589 = 311 × 30191

Now multiplying the highest exponent prime factors to calculate the LCM of 93573 and 93589.

LCM(93573,93589) = 32 × 371 × 2811 × 311 × 30191
LCM(93573,93589) = 8757403497