GCF and LCM Calculator Logo

What is the Least Common Multiple of 91472 and 91491?

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 91472 and 91491 is 8368864752.

LCM(91472,91491) = 8368864752

LCM Calculator and
and

Least Common Multiple of 91472 and 91491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91472 and 91491, than apply into the LCM equation.

GCF(91472,91491) = 1
LCM(91472,91491) = ( 91472 × 91491) / 1
LCM(91472,91491) = 8368864752 / 1
LCM(91472,91491) = 8368864752

Least Common Multiple (LCM) of 91472 and 91491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91472 and 91491. First we will calculate the prime factors of 91472 and 91491.

Prime Factorization of 91472

Prime factors of 91472 are 2, 5717. Prime factorization of 91472 in exponential form is:

91472 = 24 × 57171

Prime Factorization of 91491

Prime factors of 91491 are 3, 30497. Prime factorization of 91491 in exponential form is:

91491 = 31 × 304971

Now multiplying the highest exponent prime factors to calculate the LCM of 91472 and 91491.

LCM(91472,91491) = 24 × 57171 × 31 × 304971
LCM(91472,91491) = 8368864752