GCF and LCM Calculator Logo

What is the Least Common Multiple of 8798 and 8812?

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 8798 and 8812 is 38763988.

LCM(8798,8812) = 38763988

LCM Calculator and
and

Least Common Multiple of 8798 and 8812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8798 and 8812, than apply into the LCM equation.

GCF(8798,8812) = 2
LCM(8798,8812) = ( 8798 × 8812) / 2
LCM(8798,8812) = 77527976 / 2
LCM(8798,8812) = 38763988

Least Common Multiple (LCM) of 8798 and 8812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8798 and 8812. First we will calculate the prime factors of 8798 and 8812.

Prime Factorization of 8798

Prime factors of 8798 are 2, 53, 83. Prime factorization of 8798 in exponential form is:

8798 = 21 × 531 × 831

Prime Factorization of 8812

Prime factors of 8812 are 2, 2203. Prime factorization of 8812 in exponential form is:

8812 = 22 × 22031

Now multiplying the highest exponent prime factors to calculate the LCM of 8798 and 8812.

LCM(8798,8812) = 22 × 531 × 831 × 22031
LCM(8798,8812) = 38763988