What is the Least Common Multiple of 80129 and 80148?

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 80129 and 80148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80129 and 80148, than apply into the LCM equation.

GCF(80129,80148) = 1
LCM(80129,80148) = ( 80129 × 80148) / 1
LCM(80129,80148) = 6422179092 / 1
LCM(80129,80148) = 6422179092

Least Common Multiple (LCM) of 80129 and 80148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80129 and 80148. First we will calculate the prime factors of 80129 and 80148.

Prime Factorization of 80129

Prime Factorization of 80148

Now multiplying the highest exponent prime factors to calculate the LCM of 80129 and 80148.

LCM(80129,80148) = 7¹ × 11447¹ × 2² × 3¹ × 6679¹
LCM(80129,80148) = 6422179092