What is the Least Common Multiple of 33513 and 33519?

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 33513 and 33519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33513 and 33519, than apply into the LCM equation.

GCF(33513,33519) = 3
LCM(33513,33519) = ( 33513 × 33519) / 3
LCM(33513,33519) = 1123322247 / 3
LCM(33513,33519) = 374440749

Least Common Multiple (LCM) of 33513 and 33519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33513 and 33519. First we will calculate the prime factors of 33513 and 33519.

Prime Factorization of 33513

Prime Factorization of 33519

Now multiplying the highest exponent prime factors to calculate the LCM of 33513 and 33519.

LCM(33513,33519) = 3¹ × 11171¹ × 11173¹
LCM(33513,33519) = 374440749