What is the Least Common Multiple of 8800 and 8809?

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 8809 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 8809, than apply into the LCM equation.

GCF(8800,8809) = 1
LCM(8800,8809) = ( 8800 × 8809) / 1
LCM(8800,8809) = 77519200 / 1
LCM(8800,8809) = 77519200

Least Common Multiple (LCM) of 8800 and 8809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8800 and 8809. First we will calculate the prime factors of 8800 and 8809.

Prime Factorization of 8800

Prime Factorization of 8809

Now multiplying the highest exponent prime factors to calculate the LCM of 8800 and 8809.

LCM(8800,8809) = 2⁵ × 5² × 11¹ × 23¹ × 383¹
LCM(8800,8809) = 77519200