What is the Least Common Multiple of 80238 and 80252?

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 80238 and 80252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80238 and 80252, than apply into the LCM equation.

GCF(80238,80252) = 2
LCM(80238,80252) = ( 80238 × 80252) / 2
LCM(80238,80252) = 6439259976 / 2
LCM(80238,80252) = 3219629988

Least Common Multiple (LCM) of 80238 and 80252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80238 and 80252. First we will calculate the prime factors of 80238 and 80252.

Prime Factorization of 80238

Prime Factorization of 80252

Now multiplying the highest exponent prime factors to calculate the LCM of 80238 and 80252.

LCM(80238,80252) = 2² × 3¹ × 43¹ × 311¹ × 20063¹
LCM(80238,80252) = 3219629988