What is the Least Common Multiple of 8809 and 8817?

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 8809 and 8817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8809 and 8817, than apply into the LCM equation.

GCF(8809,8817) = 1
LCM(8809,8817) = ( 8809 × 8817) / 1
LCM(8809,8817) = 77668953 / 1
LCM(8809,8817) = 77668953

Least Common Multiple (LCM) of 8809 and 8817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8809 and 8817. First we will calculate the prime factors of 8809 and 8817.

Prime Factorization of 8809

Prime Factorization of 8817

Now multiplying the highest exponent prime factors to calculate the LCM of 8809 and 8817.

LCM(8809,8817) = 23¹ × 383¹ × 3¹ × 2939¹
LCM(8809,8817) = 77668953