What is the Least Common Multiple of 13175 and 13193?

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 13175 and 13193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13175 and 13193, than apply into the LCM equation.

GCF(13175,13193) = 1
LCM(13175,13193) = ( 13175 × 13193) / 1
LCM(13175,13193) = 173817775 / 1
LCM(13175,13193) = 173817775

Least Common Multiple (LCM) of 13175 and 13193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13175 and 13193. First we will calculate the prime factors of 13175 and 13193.

Prime Factorization of 13175

Prime Factorization of 13193

Now multiplying the highest exponent prime factors to calculate the LCM of 13175 and 13193.

LCM(13175,13193) = 5² × 17¹ × 31¹ × 79¹ × 167¹
LCM(13175,13193) = 173817775