GCF and LCM Calculator Logo

What is the Least Common Multiple of 2377 and 2390?

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 2377 and 2390 is 5681030.

LCM(2377,2390) = 5681030

LCM Calculator and
and

Least Common Multiple of 2377 and 2390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2377 and 2390, than apply into the LCM equation.

GCF(2377,2390) = 1
LCM(2377,2390) = ( 2377 × 2390) / 1
LCM(2377,2390) = 5681030 / 1
LCM(2377,2390) = 5681030

Least Common Multiple (LCM) of 2377 and 2390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2377 and 2390. First we will calculate the prime factors of 2377 and 2390.

Prime Factorization of 2377

Prime factors of 2377 are 2377. Prime factorization of 2377 in exponential form is:

2377 = 23771

Prime Factorization of 2390

Prime factors of 2390 are 2, 5, 239. Prime factorization of 2390 in exponential form is:

2390 = 21 × 51 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 2377 and 2390.

LCM(2377,2390) = 23771 × 21 × 51 × 2391
LCM(2377,2390) = 5681030