GCF and LCM Calculator Logo

What is the Least Common Multiple of 84447 and 84466?

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 84447 and 84466 is 7132900302.

LCM(84447,84466) = 7132900302

LCM Calculator and
and

Least Common Multiple of 84447 and 84466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84447 and 84466, than apply into the LCM equation.

GCF(84447,84466) = 1
LCM(84447,84466) = ( 84447 × 84466) / 1
LCM(84447,84466) = 7132900302 / 1
LCM(84447,84466) = 7132900302

Least Common Multiple (LCM) of 84447 and 84466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84447 and 84466. First we will calculate the prime factors of 84447 and 84466.

Prime Factorization of 84447

Prime factors of 84447 are 3, 11, 853. Prime factorization of 84447 in exponential form is:

84447 = 32 × 111 × 8531

Prime Factorization of 84466

Prime factors of 84466 are 2, 157, 269. Prime factorization of 84466 in exponential form is:

84466 = 21 × 1571 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 84447 and 84466.

LCM(84447,84466) = 32 × 111 × 8531 × 21 × 1571 × 2691
LCM(84447,84466) = 7132900302