What is the Least Common Multiple of 33019 and 33033?

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 33019 and 33033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33019 and 33033, than apply into the LCM equation.

GCF(33019,33033) = 7
LCM(33019,33033) = ( 33019 × 33033) / 7
LCM(33019,33033) = 1090716627 / 7
LCM(33019,33033) = 155816661

Least Common Multiple (LCM) of 33019 and 33033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33019 and 33033. First we will calculate the prime factors of 33019 and 33033.

Prime Factorization of 33019

Prime Factorization of 33033

Now multiplying the highest exponent prime factors to calculate the LCM of 33019 and 33033.

LCM(33019,33033) = 7¹ × 53¹ × 89¹ × 3¹ × 11² × 13¹
LCM(33019,33033) = 155816661