What is the Least Common Multiple of 33234 and 33249?

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 33234 and 33249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33234 and 33249, than apply into the LCM equation.

GCF(33234,33249) = 3
LCM(33234,33249) = ( 33234 × 33249) / 3
LCM(33234,33249) = 1104997266 / 3
LCM(33234,33249) = 368332422

Least Common Multiple (LCM) of 33234 and 33249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33234 and 33249. First we will calculate the prime factors of 33234 and 33249.

Prime Factorization of 33234

Prime Factorization of 33249

Now multiplying the highest exponent prime factors to calculate the LCM of 33234 and 33249.

LCM(33234,33249) = 2¹ × 3¹ × 29¹ × 191¹ × 11083¹
LCM(33234,33249) = 368332422