What is the Least Common Multiple of 17052 and 17067?

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 17052 and 17067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17052 and 17067, than apply into the LCM equation.

GCF(17052,17067) = 3
LCM(17052,17067) = ( 17052 × 17067) / 3
LCM(17052,17067) = 291026484 / 3
LCM(17052,17067) = 97008828

Least Common Multiple (LCM) of 17052 and 17067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17052 and 17067. First we will calculate the prime factors of 17052 and 17067.

Prime Factorization of 17052

Prime Factorization of 17067

Now multiplying the highest exponent prime factors to calculate the LCM of 17052 and 17067.

LCM(17052,17067) = 2² × 3¹ × 7² × 29¹ × 5689¹
LCM(17052,17067) = 97008828