What is the Least Common Multiple of 30272 and 30284?

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 30284 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 30284, than apply into the LCM equation.

GCF(30272,30284) = 4
LCM(30272,30284) = ( 30272 × 30284) / 4
LCM(30272,30284) = 916757248 / 4
LCM(30272,30284) = 229189312

Least Common Multiple (LCM) of 30272 and 30284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30272 and 30284. First we will calculate the prime factors of 30272 and 30284.

Prime Factorization of 30272

Prime Factorization of 30284

Now multiplying the highest exponent prime factors to calculate the LCM of 30272 and 30284.

LCM(30272,30284) = 2⁶ × 11¹ × 43¹ × 67¹ × 113¹
LCM(30272,30284) = 229189312