GCF and LCM Calculator Logo

What is the Least Common Multiple of 8837 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 8837 and 8856 is 78260472.

LCM(8837,8856) = 78260472

LCM Calculator and
and

Least Common Multiple of 8837 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 8837 and 8856, than apply into the LCM equation.

GCF(8837,8856) = 1
LCM(8837,8856) = ( 8837 × 8856) / 1
LCM(8837,8856) = 78260472 / 1
LCM(8837,8856) = 78260472

Least Common Multiple (LCM) of 8837 and 8856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8837 and 8856. First we will calculate the prime factors of 8837 and 8856.

Prime Factorization of 8837

Prime factors of 8837 are 8837. Prime factorization of 8837 in exponential form is:

8837 = 88371

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 8837 and 8856.

LCM(8837,8856) = 88371 × 23 × 33 × 411
LCM(8837,8856) = 78260472