GCF and LCM Calculator Logo

What is the Least Common Multiple of 8806 and 8823?

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 8806 and 8823 is 4570314.

LCM(8806,8823) = 4570314

LCM Calculator and
and

Least Common Multiple of 8806 and 8823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8806 and 8823, than apply into the LCM equation.

GCF(8806,8823) = 17
LCM(8806,8823) = ( 8806 × 8823) / 17
LCM(8806,8823) = 77695338 / 17
LCM(8806,8823) = 4570314

Least Common Multiple (LCM) of 8806 and 8823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8806 and 8823. First we will calculate the prime factors of 8806 and 8823.

Prime Factorization of 8806

Prime factors of 8806 are 2, 7, 17, 37. Prime factorization of 8806 in exponential form is:

8806 = 21 × 71 × 171 × 371

Prime Factorization of 8823

Prime factors of 8823 are 3, 17, 173. Prime factorization of 8823 in exponential form is:

8823 = 31 × 171 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 8806 and 8823.

LCM(8806,8823) = 21 × 71 × 171 × 371 × 31 × 1731
LCM(8806,8823) = 4570314