What is the Least Common Multiple of 80796 and 80804?

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 80796 and 80804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80796 and 80804, than apply into the LCM equation.

GCF(80796,80804) = 4
LCM(80796,80804) = ( 80796 × 80804) / 4
LCM(80796,80804) = 6528639984 / 4
LCM(80796,80804) = 1632159996

Least Common Multiple (LCM) of 80796 and 80804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80796 and 80804. First we will calculate the prime factors of 80796 and 80804.

Prime Factorization of 80796

Prime Factorization of 80804

Now multiplying the highest exponent prime factors to calculate the LCM of 80796 and 80804.

LCM(80796,80804) = 2² × 3¹ × 6733¹ × 20201¹
LCM(80796,80804) = 1632159996