GCF and LCM Calculator Logo

What is the Least Common Multiple of 93286 and 93304?

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 93286 and 93304 is 4351978472.

LCM(93286,93304) = 4351978472

LCM Calculator and
and

Least Common Multiple of 93286 and 93304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93286 and 93304, than apply into the LCM equation.

GCF(93286,93304) = 2
LCM(93286,93304) = ( 93286 × 93304) / 2
LCM(93286,93304) = 8703956944 / 2
LCM(93286,93304) = 4351978472

Least Common Multiple (LCM) of 93286 and 93304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93286 and 93304. First we will calculate the prime factors of 93286 and 93304.

Prime Factorization of 93286

Prime factors of 93286 are 2, 46643. Prime factorization of 93286 in exponential form is:

93286 = 21 × 466431

Prime Factorization of 93304

Prime factors of 93304 are 2, 107, 109. Prime factorization of 93304 in exponential form is:

93304 = 23 × 1071 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 93286 and 93304.

LCM(93286,93304) = 23 × 466431 × 1071 × 1091
LCM(93286,93304) = 4351978472