GCF and LCM Calculator Logo

What is the Least Common Multiple of 93192 and 93210?

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 93192 and 93210 is 1447737720.

LCM(93192,93210) = 1447737720

LCM Calculator and
and

Least Common Multiple of 93192 and 93210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93192 and 93210, than apply into the LCM equation.

GCF(93192,93210) = 6
LCM(93192,93210) = ( 93192 × 93210) / 6
LCM(93192,93210) = 8686426320 / 6
LCM(93192,93210) = 1447737720

Least Common Multiple (LCM) of 93192 and 93210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93192 and 93210. First we will calculate the prime factors of 93192 and 93210.

Prime Factorization of 93192

Prime factors of 93192 are 2, 3, 11, 353. Prime factorization of 93192 in exponential form is:

93192 = 23 × 31 × 111 × 3531

Prime Factorization of 93210

Prime factors of 93210 are 2, 3, 5, 13, 239. Prime factorization of 93210 in exponential form is:

93210 = 21 × 31 × 51 × 131 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 93192 and 93210.

LCM(93192,93210) = 23 × 31 × 111 × 3531 × 51 × 131 × 2391
LCM(93192,93210) = 1447737720