What is the Least Common Multiple of 80212 and 80224?

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 80212 and 80224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80212 and 80224, than apply into the LCM equation.

GCF(80212,80224) = 4
LCM(80212,80224) = ( 80212 × 80224) / 4
LCM(80212,80224) = 6434927488 / 4
LCM(80212,80224) = 1608731872

Least Common Multiple (LCM) of 80212 and 80224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80212 and 80224. First we will calculate the prime factors of 80212 and 80224.

Prime Factorization of 80212

Prime Factorization of 80224

Now multiplying the highest exponent prime factors to calculate the LCM of 80212 and 80224.

LCM(80212,80224) = 2⁵ × 11¹ × 1823¹ × 23¹ × 109¹
LCM(80212,80224) = 1608731872