What is the Least Common Multiple of 75448 and 75466?

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 75448 and 75466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75448 and 75466, than apply into the LCM equation.

GCF(75448,75466) = 2
LCM(75448,75466) = ( 75448 × 75466) / 2
LCM(75448,75466) = 5693758768 / 2
LCM(75448,75466) = 2846879384

Least Common Multiple (LCM) of 75448 and 75466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75448 and 75466. First we will calculate the prime factors of 75448 and 75466.

Prime Factorization of 75448

Prime Factorization of 75466

Now multiplying the highest exponent prime factors to calculate the LCM of 75448 and 75466.

LCM(75448,75466) = 2³ × 9431¹ × 97¹ × 389¹
LCM(75448,75466) = 2846879384