What is the Least Common Multiple of 34310 and 34328?

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 34310 and 34328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34310 and 34328, than apply into the LCM equation.

GCF(34310,34328) = 2
LCM(34310,34328) = ( 34310 × 34328) / 2
LCM(34310,34328) = 1177793680 / 2
LCM(34310,34328) = 588896840

Least Common Multiple (LCM) of 34310 and 34328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34310 and 34328. First we will calculate the prime factors of 34310 and 34328.

Prime Factorization of 34310

Prime Factorization of 34328

Now multiplying the highest exponent prime factors to calculate the LCM of 34310 and 34328.

LCM(34310,34328) = 2³ × 5¹ × 47¹ × 73¹ × 7¹ × 613¹
LCM(34310,34328) = 588896840