GCF and LCM Calculator Logo

What is the Least Common Multiple of 94491 and 94496?

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 94491 and 94496 is 8929021536.

LCM(94491,94496) = 8929021536

LCM Calculator and
and

Least Common Multiple of 94491 and 94496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94491 and 94496, than apply into the LCM equation.

GCF(94491,94496) = 1
LCM(94491,94496) = ( 94491 × 94496) / 1
LCM(94491,94496) = 8929021536 / 1
LCM(94491,94496) = 8929021536

Least Common Multiple (LCM) of 94491 and 94496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94491 and 94496. First we will calculate the prime factors of 94491 and 94496.

Prime Factorization of 94491

Prime factors of 94491 are 3, 10499. Prime factorization of 94491 in exponential form is:

94491 = 32 × 104991

Prime Factorization of 94496

Prime factors of 94496 are 2, 2953. Prime factorization of 94496 in exponential form is:

94496 = 25 × 29531

Now multiplying the highest exponent prime factors to calculate the LCM of 94491 and 94496.

LCM(94491,94496) = 32 × 104991 × 25 × 29531
LCM(94491,94496) = 8929021536