GCF and LCM Calculator Logo

What is the Least Common Multiple of 93599 and 93613?

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 93599 and 93613 is 8762083187.

LCM(93599,93613) = 8762083187

LCM Calculator and
and

Least Common Multiple of 93599 and 93613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93599 and 93613, than apply into the LCM equation.

GCF(93599,93613) = 1
LCM(93599,93613) = ( 93599 × 93613) / 1
LCM(93599,93613) = 8762083187 / 1
LCM(93599,93613) = 8762083187

Least Common Multiple (LCM) of 93599 and 93613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93599 and 93613. First we will calculate the prime factors of 93599 and 93613.

Prime Factorization of 93599

Prime factors of 93599 are 11, 67, 127. Prime factorization of 93599 in exponential form is:

93599 = 111 × 671 × 1271

Prime Factorization of 93613

Prime factors of 93613 are 13, 19, 379. Prime factorization of 93613 in exponential form is:

93613 = 131 × 191 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 93599 and 93613.

LCM(93599,93613) = 111 × 671 × 1271 × 131 × 191 × 3791
LCM(93599,93613) = 8762083187