GCF and LCM Calculator Logo

What is the Least Common Multiple of 93573 and 93583?

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 93583 is 8756842059.

LCM(93573,93583) = 8756842059

LCM Calculator and
and

Least Common Multiple of 93573 and 93583 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 93583, than apply into the LCM equation.

GCF(93573,93583) = 1
LCM(93573,93583) = ( 93573 × 93583) / 1
LCM(93573,93583) = 8756842059 / 1
LCM(93573,93583) = 8756842059

Least Common Multiple (LCM) of 93573 and 93583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93573 and 93583. First we will calculate the prime factors of 93573 and 93583.

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 93583

Prime factors of 93583 are 7, 29, 461. Prime factorization of 93583 in exponential form is:

93583 = 71 × 291 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 93573 and 93583.

LCM(93573,93583) = 32 × 371 × 2811 × 71 × 291 × 4611
LCM(93573,93583) = 8756842059