What is the Least Common Multiple of 34338 and 34353?

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 34338 and 34353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34338 and 34353, than apply into the LCM equation.

GCF(34338,34353) = 3
LCM(34338,34353) = ( 34338 × 34353) / 3
LCM(34338,34353) = 1179613314 / 3
LCM(34338,34353) = 393204438

Least Common Multiple (LCM) of 34338 and 34353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34338 and 34353. First we will calculate the prime factors of 34338 and 34353.

Prime Factorization of 34338

Prime Factorization of 34353

Now multiplying the highest exponent prime factors to calculate the LCM of 34338 and 34353.

LCM(34338,34353) = 2¹ × 3² × 59¹ × 97¹ × 11¹ × 347¹
LCM(34338,34353) = 393204438