GCF and LCM Calculator Logo

What is the Least Common Multiple of 27422 and 27428?

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 27422 and 27428 is 376065308.

LCM(27422,27428) = 376065308

LCM Calculator and
and

Least Common Multiple of 27422 and 27428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27422 and 27428, than apply into the LCM equation.

GCF(27422,27428) = 2
LCM(27422,27428) = ( 27422 × 27428) / 2
LCM(27422,27428) = 752130616 / 2
LCM(27422,27428) = 376065308

Least Common Multiple (LCM) of 27422 and 27428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27422 and 27428. First we will calculate the prime factors of 27422 and 27428.

Prime Factorization of 27422

Prime factors of 27422 are 2, 13711. Prime factorization of 27422 in exponential form is:

27422 = 21 × 137111

Prime Factorization of 27428

Prime factors of 27428 are 2, 6857. Prime factorization of 27428 in exponential form is:

27428 = 22 × 68571

Now multiplying the highest exponent prime factors to calculate the LCM of 27422 and 27428.

LCM(27422,27428) = 22 × 137111 × 68571
LCM(27422,27428) = 376065308