What is the Least Common Multiple of 80796 and 80816?

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 80816 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 80816, than apply into the LCM equation.

GCF(80796,80816) = 4
LCM(80796,80816) = ( 80796 × 80816) / 4
LCM(80796,80816) = 6529609536 / 4
LCM(80796,80816) = 1632402384

Least Common Multiple (LCM) of 80796 and 80816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80796 and 80816. First we will calculate the prime factors of 80796 and 80816.

Prime Factorization of 80796

Prime Factorization of 80816

Now multiplying the highest exponent prime factors to calculate the LCM of 80796 and 80816.

LCM(80796,80816) = 2⁴ × 3¹ × 6733¹ × 5051¹
LCM(80796,80816) = 1632402384