GCF and LCM Calculator Logo

What is the Least Common Multiple of 93068 and 93088?

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 93068 and 93088 is 2165878496.

LCM(93068,93088) = 2165878496

LCM Calculator and
and

Least Common Multiple of 93068 and 93088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93068 and 93088, than apply into the LCM equation.

GCF(93068,93088) = 4
LCM(93068,93088) = ( 93068 × 93088) / 4
LCM(93068,93088) = 8663513984 / 4
LCM(93068,93088) = 2165878496

Least Common Multiple (LCM) of 93068 and 93088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93068 and 93088. First we will calculate the prime factors of 93068 and 93088.

Prime Factorization of 93068

Prime factors of 93068 are 2, 53, 439. Prime factorization of 93068 in exponential form is:

93068 = 22 × 531 × 4391

Prime Factorization of 93088

Prime factors of 93088 are 2, 2909. Prime factorization of 93088 in exponential form is:

93088 = 25 × 29091

Now multiplying the highest exponent prime factors to calculate the LCM of 93068 and 93088.

LCM(93068,93088) = 25 × 531 × 4391 × 29091
LCM(93068,93088) = 2165878496