GCF and LCM Calculator Logo

What is the Least Common Multiple of 7484 and 7491?

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 7484 and 7491 is 56062644.

LCM(7484,7491) = 56062644

LCM Calculator and
and

Least Common Multiple of 7484 and 7491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7484 and 7491, than apply into the LCM equation.

GCF(7484,7491) = 1
LCM(7484,7491) = ( 7484 × 7491) / 1
LCM(7484,7491) = 56062644 / 1
LCM(7484,7491) = 56062644

Least Common Multiple (LCM) of 7484 and 7491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7484 and 7491. First we will calculate the prime factors of 7484 and 7491.

Prime Factorization of 7484

Prime factors of 7484 are 2, 1871. Prime factorization of 7484 in exponential form is:

7484 = 22 × 18711

Prime Factorization of 7491

Prime factors of 7491 are 3, 11, 227. Prime factorization of 7491 in exponential form is:

7491 = 31 × 111 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 7484 and 7491.

LCM(7484,7491) = 22 × 18711 × 31 × 111 × 2271
LCM(7484,7491) = 56062644