What is the Least Common Multiple of 30272 and 30276?

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 30276 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 30276, than apply into the LCM equation.

GCF(30272,30276) = 4
LCM(30272,30276) = ( 30272 × 30276) / 4
LCM(30272,30276) = 916515072 / 4
LCM(30272,30276) = 229128768

Least Common Multiple (LCM) of 30272 and 30276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30272 and 30276. First we will calculate the prime factors of 30272 and 30276.

Prime Factorization of 30272

Prime Factorization of 30276

Now multiplying the highest exponent prime factors to calculate the LCM of 30272 and 30276.

LCM(30272,30276) = 2⁶ × 11¹ × 43¹ × 3² × 29²
LCM(30272,30276) = 229128768