What is the Least Common Multiple of 30294 and 30310?

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 30294 and 30310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30294 and 30310, than apply into the LCM equation.

GCF(30294,30310) = 2
LCM(30294,30310) = ( 30294 × 30310) / 2
LCM(30294,30310) = 918211140 / 2
LCM(30294,30310) = 459105570

Least Common Multiple (LCM) of 30294 and 30310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30294 and 30310. First we will calculate the prime factors of 30294 and 30310.

Prime Factorization of 30294

Prime Factorization of 30310

Now multiplying the highest exponent prime factors to calculate the LCM of 30294 and 30310.

LCM(30294,30310) = 2¹ × 3⁴ × 11¹ × 17¹ × 5¹ × 7¹ × 433¹
LCM(30294,30310) = 459105570