What is the Least Common Multiple of 34494 and 34498?

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 34494 and 34498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34494 and 34498, than apply into the LCM equation.

GCF(34494,34498) = 2
LCM(34494,34498) = ( 34494 × 34498) / 2
LCM(34494,34498) = 1189974012 / 2
LCM(34494,34498) = 594987006

Least Common Multiple (LCM) of 34494 and 34498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34494 and 34498. First we will calculate the prime factors of 34494 and 34498.

Prime Factorization of 34494

Prime Factorization of 34498

Now multiplying the highest exponent prime factors to calculate the LCM of 34494 and 34498.

LCM(34494,34498) = 2¹ × 3¹ × 5749¹ × 47¹ × 367¹
LCM(34494,34498) = 594987006