GCF and LCM Calculator Logo

What is the Least Common Multiple of 93310 and 93322?

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 93310 and 93322 is 4353937910.

LCM(93310,93322) = 4353937910

LCM Calculator and
and

Least Common Multiple of 93310 and 93322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93310 and 93322, than apply into the LCM equation.

GCF(93310,93322) = 2
LCM(93310,93322) = ( 93310 × 93322) / 2
LCM(93310,93322) = 8707875820 / 2
LCM(93310,93322) = 4353937910

Least Common Multiple (LCM) of 93310 and 93322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93310 and 93322. First we will calculate the prime factors of 93310 and 93322.

Prime Factorization of 93310

Prime factors of 93310 are 2, 5, 7, 31, 43. Prime factorization of 93310 in exponential form is:

93310 = 21 × 51 × 71 × 311 × 431

Prime Factorization of 93322

Prime factors of 93322 are 2, 29, 1609. Prime factorization of 93322 in exponential form is:

93322 = 21 × 291 × 16091

Now multiplying the highest exponent prime factors to calculate the LCM of 93310 and 93322.

LCM(93310,93322) = 21 × 51 × 71 × 311 × 431 × 291 × 16091
LCM(93310,93322) = 4353937910