What is the Least Common Multiple of 5175 and 5193?

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 5175 and 5193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5175 and 5193, than apply into the LCM equation.

GCF(5175,5193) = 9
LCM(5175,5193) = ( 5175 × 5193) / 9
LCM(5175,5193) = 26873775 / 9
LCM(5175,5193) = 2985975

Least Common Multiple (LCM) of 5175 and 5193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5175 and 5193. First we will calculate the prime factors of 5175 and 5193.

Prime Factorization of 5175

Prime Factorization of 5193

Now multiplying the highest exponent prime factors to calculate the LCM of 5175 and 5193.

LCM(5175,5193) = 3² × 5² × 23¹ × 577¹
LCM(5175,5193) = 2985975