GCF and LCM Calculator Logo

What is the Least Common Multiple of 3880 and 3894?

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 3880 and 3894 is 7554360.

LCM(3880,3894) = 7554360

LCM Calculator and
and

Least Common Multiple of 3880 and 3894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3880 and 3894, than apply into the LCM equation.

GCF(3880,3894) = 2
LCM(3880,3894) = ( 3880 × 3894) / 2
LCM(3880,3894) = 15108720 / 2
LCM(3880,3894) = 7554360

Least Common Multiple (LCM) of 3880 and 3894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3880 and 3894. First we will calculate the prime factors of 3880 and 3894.

Prime Factorization of 3880

Prime factors of 3880 are 2, 5, 97. Prime factorization of 3880 in exponential form is:

3880 = 23 × 51 × 971

Prime Factorization of 3894

Prime factors of 3894 are 2, 3, 11, 59. Prime factorization of 3894 in exponential form is:

3894 = 21 × 31 × 111 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 3880 and 3894.

LCM(3880,3894) = 23 × 51 × 971 × 31 × 111 × 591
LCM(3880,3894) = 7554360