GCF and LCM Calculator Logo

What is the Least Common Multiple of 30088 and 30108?

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 30088 and 30108 is 226472376.

LCM(30088,30108) = 226472376

LCM Calculator and
and

Least Common Multiple of 30088 and 30108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30088 and 30108, than apply into the LCM equation.

GCF(30088,30108) = 4
LCM(30088,30108) = ( 30088 × 30108) / 4
LCM(30088,30108) = 905889504 / 4
LCM(30088,30108) = 226472376

Least Common Multiple (LCM) of 30088 and 30108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30088 and 30108. First we will calculate the prime factors of 30088 and 30108.

Prime Factorization of 30088

Prime factors of 30088 are 2, 3761. Prime factorization of 30088 in exponential form is:

30088 = 23 × 37611

Prime Factorization of 30108

Prime factors of 30108 are 2, 3, 13, 193. Prime factorization of 30108 in exponential form is:

30108 = 22 × 31 × 131 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 30088 and 30108.

LCM(30088,30108) = 23 × 37611 × 31 × 131 × 1931
LCM(30088,30108) = 226472376