What is the Least Common Multiple of 33270 and 33275?

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 33270 and 33275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33270 and 33275, than apply into the LCM equation.

GCF(33270,33275) = 5
LCM(33270,33275) = ( 33270 × 33275) / 5
LCM(33270,33275) = 1107059250 / 5
LCM(33270,33275) = 221411850

Least Common Multiple (LCM) of 33270 and 33275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33270 and 33275. First we will calculate the prime factors of 33270 and 33275.

Prime Factorization of 33270

Prime Factorization of 33275

Now multiplying the highest exponent prime factors to calculate the LCM of 33270 and 33275.

LCM(33270,33275) = 2¹ × 3¹ × 5² × 1109¹ × 11³
LCM(33270,33275) = 221411850