What is the Least Common Multiple of 80496 and 80508?

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 80508 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 80508, than apply into the LCM equation.

GCF(80496,80508) = 12
LCM(80496,80508) = ( 80496 × 80508) / 12
LCM(80496,80508) = 6480571968 / 12
LCM(80496,80508) = 540047664

Least Common Multiple (LCM) of 80496 and 80508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80496 and 80508. First we will calculate the prime factors of 80496 and 80508.

Prime Factorization of 80496

Prime Factorization of 80508

Now multiplying the highest exponent prime factors to calculate the LCM of 80496 and 80508.

LCM(80496,80508) = 2⁴ × 3² × 13¹ × 43¹ × 6709¹
LCM(80496,80508) = 540047664