What is the Least Common Multiple of 80212 and 80232?

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 80232 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 80232, than apply into the LCM equation.

GCF(80212,80232) = 4
LCM(80212,80232) = ( 80212 × 80232) / 4
LCM(80212,80232) = 6435569184 / 4
LCM(80212,80232) = 1608892296

Least Common Multiple (LCM) of 80212 and 80232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80212 and 80232. First we will calculate the prime factors of 80212 and 80232.

Prime Factorization of 80212

Prime Factorization of 80232

Now multiplying the highest exponent prime factors to calculate the LCM of 80212 and 80232.

LCM(80212,80232) = 2³ × 11¹ × 1823¹ × 3¹ × 3343¹
LCM(80212,80232) = 1608892296