What is the Least Common Multiple of 80496 and 80506?

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 80496 and 80506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80496 and 80506, than apply into the LCM equation.

GCF(80496,80506) = 2
LCM(80496,80506) = ( 80496 × 80506) / 2
LCM(80496,80506) = 6480410976 / 2
LCM(80496,80506) = 3240205488

Least Common Multiple (LCM) of 80496 and 80506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80496 and 80506. First we will calculate the prime factors of 80496 and 80506.

Prime Factorization of 80496

Prime Factorization of 80506

Now multiplying the highest exponent prime factors to calculate the LCM of 80496 and 80506.

LCM(80496,80506) = 2⁴ × 3² × 13¹ × 43¹ × 40253¹
LCM(80496,80506) = 3240205488