What is the Least Common Multiple of 8800 and 8804?

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 of 8800 and 8804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8800 and 8804, than apply into the LCM equation.

GCF(8800,8804) = 4
LCM(8800,8804) = ( 8800 × 8804) / 4
LCM(8800,8804) = 77475200 / 4
LCM(8800,8804) = 19368800

Least Common Multiple (LCM) of 8800 and 8804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8800 and 8804. First we will calculate the prime factors of 8800 and 8804.

Prime Factorization of 8800

Prime Factorization of 8804

Now multiplying the highest exponent prime factors to calculate the LCM of 8800 and 8804.

LCM(8800,8804) = 2⁵ × 5² × 11¹ × 31¹ × 71¹
LCM(8800,8804) = 19368800