What is the Least Common Multiple of 32575 and 32591?

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 32575 and 32591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32575 and 32591, than apply into the LCM equation.

GCF(32575,32591) = 1
LCM(32575,32591) = ( 32575 × 32591) / 1
LCM(32575,32591) = 1061651825 / 1
LCM(32575,32591) = 1061651825

Least Common Multiple (LCM) of 32575 and 32591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32575 and 32591. First we will calculate the prime factors of 32575 and 32591.

Prime Factorization of 32575

Prime Factorization of 32591

Now multiplying the highest exponent prime factors to calculate the LCM of 32575 and 32591.

LCM(32575,32591) = 5² × 1303¹ × 13¹ × 23¹ × 109¹
LCM(32575,32591) = 1061651825