What is the Least Common Multiple of 30448 and 30456?

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 30448 and 30456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30448 and 30456, than apply into the LCM equation.

GCF(30448,30456) = 8
LCM(30448,30456) = ( 30448 × 30456) / 8
LCM(30448,30456) = 927324288 / 8
LCM(30448,30456) = 115915536

Least Common Multiple (LCM) of 30448 and 30456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30448 and 30456. First we will calculate the prime factors of 30448 and 30456.

Prime Factorization of 30448

Prime Factorization of 30456

Now multiplying the highest exponent prime factors to calculate the LCM of 30448 and 30456.

LCM(30448,30456) = 2⁴ × 11¹ × 173¹ × 3⁴ × 47¹
LCM(30448,30456) = 115915536