What is the Least Common Multiple of 33135 and 33139?

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 33135 and 33139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33135 and 33139, than apply into the LCM equation.

GCF(33135,33139) = 1
LCM(33135,33139) = ( 33135 × 33139) / 1
LCM(33135,33139) = 1098060765 / 1
LCM(33135,33139) = 1098060765

Least Common Multiple (LCM) of 33135 and 33139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33135 and 33139. First we will calculate the prime factors of 33135 and 33139.

Prime Factorization of 33135

Prime Factorization of 33139

Now multiplying the highest exponent prime factors to calculate the LCM of 33135 and 33139.

LCM(33135,33139) = 3¹ × 5¹ × 47² × 31¹ × 1069¹
LCM(33135,33139) = 1098060765