GCF and LCM Calculator Logo

What is the Least Common Multiple of 28601 and 28612?

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 28601 and 28612 is 818331812.

LCM(28601,28612) = 818331812

LCM Calculator and
and

Least Common Multiple of 28601 and 28612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28601 and 28612, than apply into the LCM equation.

GCF(28601,28612) = 1
LCM(28601,28612) = ( 28601 × 28612) / 1
LCM(28601,28612) = 818331812 / 1
LCM(28601,28612) = 818331812

Least Common Multiple (LCM) of 28601 and 28612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28601 and 28612. First we will calculate the prime factors of 28601 and 28612.

Prime Factorization of 28601

Prime factors of 28601 are 37, 773. Prime factorization of 28601 in exponential form is:

28601 = 371 × 7731

Prime Factorization of 28612

Prime factors of 28612 are 2, 23, 311. Prime factorization of 28612 in exponential form is:

28612 = 22 × 231 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 28601 and 28612.

LCM(28601,28612) = 371 × 7731 × 22 × 231 × 3111
LCM(28601,28612) = 818331812