What is the Least Common Multiple of 30294 and 30311?

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 30311 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 30311, than apply into the LCM equation.

GCF(30294,30311) = 17
LCM(30294,30311) = ( 30294 × 30311) / 17
LCM(30294,30311) = 918241434 / 17
LCM(30294,30311) = 54014202

Least Common Multiple (LCM) of 30294 and 30311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30294 and 30311. First we will calculate the prime factors of 30294 and 30311.

Prime Factorization of 30294

Prime Factorization of 30311

Now multiplying the highest exponent prime factors to calculate the LCM of 30294 and 30311.

LCM(30294,30311) = 2¹ × 3⁴ × 11¹ × 17¹ × 1783¹
LCM(30294,30311) = 54014202