GCF and LCM Calculator Logo

What is the Least Common Multiple of 3979 and 3990?

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 3979 and 3990 is 15876210.

LCM(3979,3990) = 15876210

LCM Calculator and
and

Least Common Multiple of 3979 and 3990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3979 and 3990, than apply into the LCM equation.

GCF(3979,3990) = 1
LCM(3979,3990) = ( 3979 × 3990) / 1
LCM(3979,3990) = 15876210 / 1
LCM(3979,3990) = 15876210

Least Common Multiple (LCM) of 3979 and 3990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3979 and 3990. First we will calculate the prime factors of 3979 and 3990.

Prime Factorization of 3979

Prime factors of 3979 are 23, 173. Prime factorization of 3979 in exponential form is:

3979 = 231 × 1731

Prime Factorization of 3990

Prime factors of 3990 are 2, 3, 5, 7, 19. Prime factorization of 3990 in exponential form is:

3990 = 21 × 31 × 51 × 71 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 3979 and 3990.

LCM(3979,3990) = 231 × 1731 × 21 × 31 × 51 × 71 × 191
LCM(3979,3990) = 15876210