What is the Least Common Multiple of 33575 and 33581?

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 33575 and 33581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33575 and 33581, than apply into the LCM equation.

GCF(33575,33581) = 1
LCM(33575,33581) = ( 33575 × 33581) / 1
LCM(33575,33581) = 1127482075 / 1
LCM(33575,33581) = 1127482075

Least Common Multiple (LCM) of 33575 and 33581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33575 and 33581. First we will calculate the prime factors of 33575 and 33581.

Prime Factorization of 33575

Prime Factorization of 33581

Now multiplying the highest exponent prime factors to calculate the LCM of 33575 and 33581.

LCM(33575,33581) = 5² × 17¹ × 79¹ × 33581¹
LCM(33575,33581) = 1127482075