What is the Least Common Multiple of 80496 and 80505?

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 80505 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 80505, than apply into the LCM equation.

GCF(80496,80505) = 9
LCM(80496,80505) = ( 80496 × 80505) / 9
LCM(80496,80505) = 6480330480 / 9
LCM(80496,80505) = 720036720

Least Common Multiple (LCM) of 80496 and 80505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80496 and 80505. First we will calculate the prime factors of 80496 and 80505.

Prime Factorization of 80496

Prime Factorization of 80505

Now multiplying the highest exponent prime factors to calculate the LCM of 80496 and 80505.

LCM(80496,80505) = 2⁴ × 3² × 13¹ × 43¹ × 5¹ × 1789¹
LCM(80496,80505) = 720036720