What is the Least Common Multiple of 34304 and 34310?

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 34304 and 34310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34304 and 34310, than apply into the LCM equation.

GCF(34304,34310) = 2
LCM(34304,34310) = ( 34304 × 34310) / 2
LCM(34304,34310) = 1176970240 / 2
LCM(34304,34310) = 588485120

Least Common Multiple (LCM) of 34304 and 34310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34304 and 34310. First we will calculate the prime factors of 34304 and 34310.

Prime Factorization of 34304

Prime Factorization of 34310

Now multiplying the highest exponent prime factors to calculate the LCM of 34304 and 34310.

LCM(34304,34310) = 2⁹ × 67¹ × 5¹ × 47¹ × 73¹
LCM(34304,34310) = 588485120