GCF and LCM Calculator Logo

What is the Least Common Multiple of 28378 and 28392?

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 28378 and 28392 is 57550584.

LCM(28378,28392) = 57550584

LCM Calculator and
and

Least Common Multiple of 28378 and 28392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28378 and 28392, than apply into the LCM equation.

GCF(28378,28392) = 14
LCM(28378,28392) = ( 28378 × 28392) / 14
LCM(28378,28392) = 805708176 / 14
LCM(28378,28392) = 57550584

Least Common Multiple (LCM) of 28378 and 28392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28378 and 28392. First we will calculate the prime factors of 28378 and 28392.

Prime Factorization of 28378

Prime factors of 28378 are 2, 7, 2027. Prime factorization of 28378 in exponential form is:

28378 = 21 × 71 × 20271

Prime Factorization of 28392

Prime factors of 28392 are 2, 3, 7, 13. Prime factorization of 28392 in exponential form is:

28392 = 23 × 31 × 71 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 28378 and 28392.

LCM(28378,28392) = 23 × 71 × 20271 × 31 × 132
LCM(28378,28392) = 57550584