GCF and LCM Calculator Logo

What is the Least Common Multiple of 30448 and 30466?

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 (LCM) of 30448 and 30466 is 463814384.

LCM(30448,30466) = 463814384

LCM Calculator and
and

Least Common Multiple of 30448 and 30466 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 30466, than apply into the LCM equation.

GCF(30448,30466) = 2
LCM(30448,30466) = ( 30448 × 30466) / 2
LCM(30448,30466) = 927628768 / 2
LCM(30448,30466) = 463814384

Least Common Multiple (LCM) of 30448 and 30466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30448 and 30466. First we will calculate the prime factors of 30448 and 30466.

Prime Factorization of 30448

Prime factors of 30448 are 2, 11, 173. Prime factorization of 30448 in exponential form is:

30448 = 24 × 111 × 1731

Prime Factorization of 30466

Prime factors of 30466 are 2, 15233. Prime factorization of 30466 in exponential form is:

30466 = 21 × 152331

Now multiplying the highest exponent prime factors to calculate the LCM of 30448 and 30466.

LCM(30448,30466) = 24 × 111 × 1731 × 152331
LCM(30448,30466) = 463814384