What is the Least Common Multiple of 80205 and 80212?

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 80205 and 80212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80205 and 80212, than apply into the LCM equation.

GCF(80205,80212) = 1
LCM(80205,80212) = ( 80205 × 80212) / 1
LCM(80205,80212) = 6433403460 / 1
LCM(80205,80212) = 6433403460

Least Common Multiple (LCM) of 80205 and 80212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80205 and 80212. First we will calculate the prime factors of 80205 and 80212.

Prime Factorization of 80205

Prime Factorization of 80212

Now multiplying the highest exponent prime factors to calculate the LCM of 80205 and 80212.

LCM(80205,80212) = 3¹ × 5¹ × 5347¹ × 2² × 11¹ × 1823¹
LCM(80205,80212) = 6433403460