What is the Least Common Multiple of 80148 and 80162?

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 80148 and 80162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80148 and 80162, than apply into the LCM equation.

GCF(80148,80162) = 2
LCM(80148,80162) = ( 80148 × 80162) / 2
LCM(80148,80162) = 6424823976 / 2
LCM(80148,80162) = 3212411988

Least Common Multiple (LCM) of 80148 and 80162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80148 and 80162. First we will calculate the prime factors of 80148 and 80162.

Prime Factorization of 80148

Prime Factorization of 80162

Now multiplying the highest exponent prime factors to calculate the LCM of 80148 and 80162.

LCM(80148,80162) = 2² × 3¹ × 6679¹ × 149¹ × 269¹
LCM(80148,80162) = 3212411988