What is the Least Common Multiple of 80489 and 80496?

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 80489 and 80496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80489 and 80496, than apply into the LCM equation.

GCF(80489,80496) = 1
LCM(80489,80496) = ( 80489 × 80496) / 1
LCM(80489,80496) = 6479042544 / 1
LCM(80489,80496) = 6479042544

Least Common Multiple (LCM) of 80489 and 80496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80489 and 80496. First we will calculate the prime factors of 80489 and 80496.

Prime Factorization of 80489

Prime Factorization of 80496

Now multiplying the highest exponent prime factors to calculate the LCM of 80489 and 80496.

LCM(80489,80496) = 80489¹ × 2⁴ × 3² × 13¹ × 43¹
LCM(80489,80496) = 6479042544