GCF and LCM Calculator Logo

What is the Least Common Multiple of 27372 and 27386?

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 27372 and 27386 is 374804796.

LCM(27372,27386) = 374804796

LCM Calculator and
and

Least Common Multiple of 27372 and 27386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27372 and 27386, than apply into the LCM equation.

GCF(27372,27386) = 2
LCM(27372,27386) = ( 27372 × 27386) / 2
LCM(27372,27386) = 749609592 / 2
LCM(27372,27386) = 374804796

Least Common Multiple (LCM) of 27372 and 27386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27372 and 27386. First we will calculate the prime factors of 27372 and 27386.

Prime Factorization of 27372

Prime factors of 27372 are 2, 3, 2281. Prime factorization of 27372 in exponential form is:

27372 = 22 × 31 × 22811

Prime Factorization of 27386

Prime factors of 27386 are 2, 13693. Prime factorization of 27386 in exponential form is:

27386 = 21 × 136931

Now multiplying the highest exponent prime factors to calculate the LCM of 27372 and 27386.

LCM(27372,27386) = 22 × 31 × 22811 × 136931
LCM(27372,27386) = 374804796