What is the Least Common Multiple of 80575 and 80585?

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 80575 and 80585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80575 and 80585, than apply into the LCM equation.

GCF(80575,80585) = 5
LCM(80575,80585) = ( 80575 × 80585) / 5
LCM(80575,80585) = 6493136375 / 5
LCM(80575,80585) = 1298627275

Least Common Multiple (LCM) of 80575 and 80585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80575 and 80585. First we will calculate the prime factors of 80575 and 80585.

Prime Factorization of 80575

Prime Factorization of 80585

Now multiplying the highest exponent prime factors to calculate the LCM of 80575 and 80585.

LCM(80575,80585) = 5² × 11¹ × 293¹ × 71¹ × 227¹
LCM(80575,80585) = 1298627275