GCF and LCM Calculator Logo

What is the Least Common Multiple of 378 and 389?

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 378 and 389 is 147042.

LCM(378,389) = 147042

LCM Calculator and
and

Least Common Multiple of 378 and 389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 378 and 389, than apply into the LCM equation.

GCF(378,389) = 1
LCM(378,389) = ( 378 × 389) / 1
LCM(378,389) = 147042 / 1
LCM(378,389) = 147042

Least Common Multiple (LCM) of 378 and 389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 378 and 389. First we will calculate the prime factors of 378 and 389.

Prime Factorization of 378

Prime factors of 378 are 2, 3, 7. Prime factorization of 378 in exponential form is:

378 = 21 × 33 × 71

Prime Factorization of 389

Prime factors of 389 are 389. Prime factorization of 389 in exponential form is:

389 = 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 378 and 389.

LCM(378,389) = 21 × 33 × 71 × 3891
LCM(378,389) = 147042