What is the Least Common Multiple of 32576 and 32585?

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 32576 and 32585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32576 and 32585, than apply into the LCM equation.

GCF(32576,32585) = 1
LCM(32576,32585) = ( 32576 × 32585) / 1
LCM(32576,32585) = 1061488960 / 1
LCM(32576,32585) = 1061488960

Least Common Multiple (LCM) of 32576 and 32585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32576 and 32585. First we will calculate the prime factors of 32576 and 32585.

Prime Factorization of 32576

Prime Factorization of 32585

Now multiplying the highest exponent prime factors to calculate the LCM of 32576 and 32585.

LCM(32576,32585) = 2⁶ × 509¹ × 5¹ × 7³ × 19¹
LCM(32576,32585) = 1061488960