What is the Least Common Multiple of 19173 and 19180?

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 19173 and 19180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19173 and 19180, than apply into the LCM equation.

GCF(19173,19180) = 7
LCM(19173,19180) = ( 19173 × 19180) / 7
LCM(19173,19180) = 367738140 / 7
LCM(19173,19180) = 52534020

Least Common Multiple (LCM) of 19173 and 19180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19173 and 19180. First we will calculate the prime factors of 19173 and 19180.

Prime Factorization of 19173

Prime Factorization of 19180

Now multiplying the highest exponent prime factors to calculate the LCM of 19173 and 19180.

LCM(19173,19180) = 3¹ × 7¹ × 11¹ × 83¹ × 2² × 5¹ × 137¹
LCM(19173,19180) = 52534020