What is the Least Common Multiple of 33510 and 33525?

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 33510 and 33525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33510 and 33525, than apply into the LCM equation.

GCF(33510,33525) = 15
LCM(33510,33525) = ( 33510 × 33525) / 15
LCM(33510,33525) = 1123422750 / 15
LCM(33510,33525) = 74894850

Least Common Multiple (LCM) of 33510 and 33525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33510 and 33525. First we will calculate the prime factors of 33510 and 33525.

Prime Factorization of 33510

Prime Factorization of 33525

Now multiplying the highest exponent prime factors to calculate the LCM of 33510 and 33525.

LCM(33510,33525) = 2¹ × 3² × 5² × 1117¹ × 149¹
LCM(33510,33525) = 74894850