What is the Least Common Multiple of 33825 and 33833?

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 33825 and 33833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33825 and 33833, than apply into the LCM equation.

GCF(33825,33833) = 1
LCM(33825,33833) = ( 33825 × 33833) / 1
LCM(33825,33833) = 1144401225 / 1
LCM(33825,33833) = 1144401225

Least Common Multiple (LCM) of 33825 and 33833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33825 and 33833. First we will calculate the prime factors of 33825 and 33833.

Prime Factorization of 33825

Prime Factorization of 33833

Now multiplying the highest exponent prime factors to calculate the LCM of 33825 and 33833.

LCM(33825,33833) = 3¹ × 5² × 11¹ × 41¹ × 23¹ × 1471¹
LCM(33825,33833) = 1144401225