What is the Least Common Multiple of 30272 and 30286?

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 30272 and 30286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30272 and 30286, than apply into the LCM equation.

GCF(30272,30286) = 2
LCM(30272,30286) = ( 30272 × 30286) / 2
LCM(30272,30286) = 916817792 / 2
LCM(30272,30286) = 458408896

Least Common Multiple (LCM) of 30272 and 30286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30272 and 30286. First we will calculate the prime factors of 30272 and 30286.

Prime Factorization of 30272

Prime Factorization of 30286

Now multiplying the highest exponent prime factors to calculate the LCM of 30272 and 30286.

LCM(30272,30286) = 2⁶ × 11¹ × 43¹ × 19¹ × 797¹
LCM(30272,30286) = 458408896