What is the Least Common Multiple of 33825 and 33834?

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 33834 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 33834, than apply into the LCM equation.

GCF(33825,33834) = 3
LCM(33825,33834) = ( 33825 × 33834) / 3
LCM(33825,33834) = 1144435050 / 3
LCM(33825,33834) = 381478350

Least Common Multiple (LCM) of 33825 and 33834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33825 and 33834. First we will calculate the prime factors of 33825 and 33834.

Prime Factorization of 33825

Prime Factorization of 33834

Now multiplying the highest exponent prime factors to calculate the LCM of 33825 and 33834.

LCM(33825,33834) = 3¹ × 5² × 11¹ × 41¹ × 2¹ × 5639¹
LCM(33825,33834) = 381478350