What is the Least Common Multiple of 32444 and 32459?

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 32459 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 32459, than apply into the LCM equation.

GCF(32444,32459) = 1
LCM(32444,32459) = ( 32444 × 32459) / 1
LCM(32444,32459) = 1053099796 / 1
LCM(32444,32459) = 1053099796

Least Common Multiple (LCM) of 32444 and 32459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32444 and 32459. First we will calculate the prime factors of 32444 and 32459.

Prime Factorization of 32444

Prime Factorization of 32459

Now multiplying the highest exponent prime factors to calculate the LCM of 32444 and 32459.

LCM(32444,32459) = 2² × 8111¹ × 7¹ × 4637¹
LCM(32444,32459) = 1053099796