GCF and LCM Calculator Logo

What is the Least Common Multiple of 8851 and 8856?

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 8851 and 8856 is 78384456.

LCM(8851,8856) = 78384456

LCM Calculator and
and

Least Common Multiple of 8851 and 8856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8851 and 8856, than apply into the LCM equation.

GCF(8851,8856) = 1
LCM(8851,8856) = ( 8851 × 8856) / 1
LCM(8851,8856) = 78384456 / 1
LCM(8851,8856) = 78384456

Least Common Multiple (LCM) of 8851 and 8856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8851 and 8856. First we will calculate the prime factors of 8851 and 8856.

Prime Factorization of 8851

Prime factors of 8851 are 53, 167. Prime factorization of 8851 in exponential form is:

8851 = 531 × 1671

Prime Factorization of 8856

Prime factors of 8856 are 2, 3, 41. Prime factorization of 8856 in exponential form is:

8856 = 23 × 33 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 8851 and 8856.

LCM(8851,8856) = 531 × 1671 × 23 × 33 × 411
LCM(8851,8856) = 78384456