What is the Least Common Multiple of 80229 and 80238?

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 80229 and 80238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80229 and 80238, than apply into the LCM equation.

GCF(80229,80238) = 3
LCM(80229,80238) = ( 80229 × 80238) / 3
LCM(80229,80238) = 6437414502 / 3
LCM(80229,80238) = 2145804834

Least Common Multiple (LCM) of 80229 and 80238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80229 and 80238. First we will calculate the prime factors of 80229 and 80238.

Prime Factorization of 80229

Prime Factorization of 80238

Now multiplying the highest exponent prime factors to calculate the LCM of 80229 and 80238.

LCM(80229,80238) = 3¹ × 47¹ × 569¹ × 2¹ × 43¹ × 311¹
LCM(80229,80238) = 2145804834