What is the Least Common Multiple of 80304 and 80312?

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 80304 and 80312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80304 and 80312, than apply into the LCM equation.

GCF(80304,80312) = 8
LCM(80304,80312) = ( 80304 × 80312) / 8
LCM(80304,80312) = 6449374848 / 8
LCM(80304,80312) = 806171856

Least Common Multiple (LCM) of 80304 and 80312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80304 and 80312. First we will calculate the prime factors of 80304 and 80312.

Prime Factorization of 80304

Prime Factorization of 80312

Now multiplying the highest exponent prime factors to calculate the LCM of 80304 and 80312.

LCM(80304,80312) = 2⁴ × 3¹ × 7¹ × 239¹ × 10039¹
LCM(80304,80312) = 806171856