GCF and LCM Calculator Logo

What is the Least Common Multiple of 375 and 395?

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 375 and 395 is 29625.

LCM(375,395) = 29625

LCM Calculator and
and

Least Common Multiple of 375 and 395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 375 and 395, than apply into the LCM equation.

GCF(375,395) = 5
LCM(375,395) = ( 375 × 395) / 5
LCM(375,395) = 148125 / 5
LCM(375,395) = 29625

Least Common Multiple (LCM) of 375 and 395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 375 and 395. First we will calculate the prime factors of 375 and 395.

Prime Factorization of 375

Prime factors of 375 are 3, 5. Prime factorization of 375 in exponential form is:

375 = 31 × 53

Prime Factorization of 395

Prime factors of 395 are 5, 79. Prime factorization of 395 in exponential form is:

395 = 51 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 375 and 395.

LCM(375,395) = 31 × 53 × 791
LCM(375,395) = 29625