What is the Least Common Multiple of 80475 and 80484?

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 80475 and 80484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80475 and 80484, than apply into the LCM equation.

GCF(80475,80484) = 3
LCM(80475,80484) = ( 80475 × 80484) / 3
LCM(80475,80484) = 6476949900 / 3
LCM(80475,80484) = 2158983300

Least Common Multiple (LCM) of 80475 and 80484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80475 and 80484. First we will calculate the prime factors of 80475 and 80484.

Prime Factorization of 80475

Prime Factorization of 80484

Now multiplying the highest exponent prime factors to calculate the LCM of 80475 and 80484.

LCM(80475,80484) = 3¹ × 5² × 29¹ × 37¹ × 2² × 19¹ × 353¹
LCM(80475,80484) = 2158983300