What is the Least Common Multiple of 75191 and 75205?

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 75191 and 75205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75191 and 75205, than apply into the LCM equation.

GCF(75191,75205) = 1
LCM(75191,75205) = ( 75191 × 75205) / 1
LCM(75191,75205) = 5654739155 / 1
LCM(75191,75205) = 5654739155

Least Common Multiple (LCM) of 75191 and 75205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75191 and 75205. First we will calculate the prime factors of 75191 and 75205.

Prime Factorization of 75191

Prime Factorization of 75205

Now multiplying the highest exponent prime factors to calculate the LCM of 75191 and 75205.

LCM(75191,75205) = 17¹ × 4423¹ × 5¹ × 13² × 89¹
LCM(75191,75205) = 5654739155