What is the Least Common Multiple of 34284 and 34304?

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 34284 and 34304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34284 and 34304, than apply into the LCM equation.

GCF(34284,34304) = 4
LCM(34284,34304) = ( 34284 × 34304) / 4
LCM(34284,34304) = 1176078336 / 4
LCM(34284,34304) = 294019584

Least Common Multiple (LCM) of 34284 and 34304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34284 and 34304. First we will calculate the prime factors of 34284 and 34304.

Prime Factorization of 34284

Prime Factorization of 34304

Now multiplying the highest exponent prime factors to calculate the LCM of 34284 and 34304.

LCM(34284,34304) = 2⁹ × 3¹ × 2857¹ × 67¹
LCM(34284,34304) = 294019584