What is the Least Common Multiple of 32444 and 32449?

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 32444 and 32449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32444 and 32449, than apply into the LCM equation.

GCF(32444,32449) = 1
LCM(32444,32449) = ( 32444 × 32449) / 1
LCM(32444,32449) = 1052775356 / 1
LCM(32444,32449) = 1052775356

Least Common Multiple (LCM) of 32444 and 32449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32444 and 32449. First we will calculate the prime factors of 32444 and 32449.

Prime Factorization of 32444

Prime Factorization of 32449

Now multiplying the highest exponent prime factors to calculate the LCM of 32444 and 32449.

LCM(32444,32449) = 2² × 8111¹ × 37¹ × 877¹
LCM(32444,32449) = 1052775356