What is the Least Common Multiple of 19434 and 19443?

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 19434 and 19443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19434 and 19443, than apply into the LCM equation.

GCF(19434,19443) = 3
LCM(19434,19443) = ( 19434 × 19443) / 3
LCM(19434,19443) = 377855262 / 3
LCM(19434,19443) = 125951754

Least Common Multiple (LCM) of 19434 and 19443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19434 and 19443. First we will calculate the prime factors of 19434 and 19443.

Prime Factorization of 19434

Prime Factorization of 19443

Now multiplying the highest exponent prime factors to calculate the LCM of 19434 and 19443.

LCM(19434,19443) = 2¹ × 3¹ × 41¹ × 79¹ × 6481¹
LCM(19434,19443) = 125951754