What is the Least Common Multiple of 75500 and 75509?

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 75500 and 75509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75500 and 75509, than apply into the LCM equation.

GCF(75500,75509) = 1
LCM(75500,75509) = ( 75500 × 75509) / 1
LCM(75500,75509) = 5700929500 / 1
LCM(75500,75509) = 5700929500

Least Common Multiple (LCM) of 75500 and 75509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75500 and 75509. First we will calculate the prime factors of 75500 and 75509.

Prime Factorization of 75500

Prime Factorization of 75509

Now multiplying the highest exponent prime factors to calculate the LCM of 75500 and 75509.

LCM(75500,75509) = 2² × 5³ × 151¹ × 7² × 23¹ × 67¹
LCM(75500,75509) = 5700929500