What is the Least Common Multiple of 33519 and 33530?

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 33519 and 33530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33519 and 33530, than apply into the LCM equation.

GCF(33519,33530) = 1
LCM(33519,33530) = ( 33519 × 33530) / 1
LCM(33519,33530) = 1123892070 / 1
LCM(33519,33530) = 1123892070

Least Common Multiple (LCM) of 33519 and 33530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33519 and 33530. First we will calculate the prime factors of 33519 and 33530.

Prime Factorization of 33519

Prime Factorization of 33530

Now multiplying the highest exponent prime factors to calculate the LCM of 33519 and 33530.

LCM(33519,33530) = 3¹ × 11173¹ × 2¹ × 5¹ × 7¹ × 479¹
LCM(33519,33530) = 1123892070