GCF and LCM Calculator Logo

What is the Least Common Multiple of 93353 and 93357?

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 93353 and 93357 is 8715156021.

LCM(93353,93357) = 8715156021

LCM Calculator and
and

Least Common Multiple of 93353 and 93357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93353 and 93357, than apply into the LCM equation.

GCF(93353,93357) = 1
LCM(93353,93357) = ( 93353 × 93357) / 1
LCM(93353,93357) = 8715156021 / 1
LCM(93353,93357) = 8715156021

Least Common Multiple (LCM) of 93353 and 93357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93353 and 93357. First we will calculate the prime factors of 93353 and 93357.

Prime Factorization of 93353

Prime factors of 93353 are 13, 43, 167. Prime factorization of 93353 in exponential form is:

93353 = 131 × 431 × 1671

Prime Factorization of 93357

Prime factors of 93357 are 3, 11, 23, 41. Prime factorization of 93357 in exponential form is:

93357 = 32 × 111 × 231 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 93353 and 93357.

LCM(93353,93357) = 131 × 431 × 1671 × 32 × 111 × 231 × 411
LCM(93353,93357) = 8715156021