What is the Least Common Multiple of 33512 and 33517?

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 33512 and 33517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33512 and 33517, than apply into the LCM equation.

GCF(33512,33517) = 1
LCM(33512,33517) = ( 33512 × 33517) / 1
LCM(33512,33517) = 1123221704 / 1
LCM(33512,33517) = 1123221704

Least Common Multiple (LCM) of 33512 and 33517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33512 and 33517. First we will calculate the prime factors of 33512 and 33517.

Prime Factorization of 33512

Prime Factorization of 33517

Now multiplying the highest exponent prime factors to calculate the LCM of 33512 and 33517.

LCM(33512,33517) = 2³ × 59¹ × 71¹ × 11² × 277¹
LCM(33512,33517) = 1123221704