What is the Least Common Multiple of 32544 and 32563?

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 32544 and 32563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32544 and 32563, than apply into the LCM equation.

GCF(32544,32563) = 1
LCM(32544,32563) = ( 32544 × 32563) / 1
LCM(32544,32563) = 1059730272 / 1
LCM(32544,32563) = 1059730272

Least Common Multiple (LCM) of 32544 and 32563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32544 and 32563. First we will calculate the prime factors of 32544 and 32563.

Prime Factorization of 32544

Prime Factorization of 32563

Now multiplying the highest exponent prime factors to calculate the LCM of 32544 and 32563.

LCM(32544,32563) = 2⁵ × 3² × 113¹ × 32563¹
LCM(32544,32563) = 1059730272