What is the Least Common Multiple of 33234 and 33253?

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 33253 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 33253, than apply into the LCM equation.

GCF(33234,33253) = 1
LCM(33234,33253) = ( 33234 × 33253) / 1
LCM(33234,33253) = 1105130202 / 1
LCM(33234,33253) = 1105130202

Least Common Multiple (LCM) of 33234 and 33253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33234 and 33253. First we will calculate the prime factors of 33234 and 33253.

Prime Factorization of 33234

Prime Factorization of 33253

Now multiplying the highest exponent prime factors to calculate the LCM of 33234 and 33253.

LCM(33234,33253) = 2¹ × 3¹ × 29¹ × 191¹ × 11¹ × 3023¹
LCM(33234,33253) = 1105130202