What is the Least Common Multiple of 80484 and 80491?

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 80484 and 80491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80484 and 80491, than apply into the LCM equation.

GCF(80484,80491) = 1
LCM(80484,80491) = ( 80484 × 80491) / 1
LCM(80484,80491) = 6478237644 / 1
LCM(80484,80491) = 6478237644

Least Common Multiple (LCM) of 80484 and 80491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80484 and 80491. First we will calculate the prime factors of 80484 and 80491.

Prime Factorization of 80484

Prime Factorization of 80491

Now multiplying the highest exponent prime factors to calculate the LCM of 80484 and 80491.

LCM(80484,80491) = 2² × 3¹ × 19¹ × 353¹ × 80491¹
LCM(80484,80491) = 6478237644