What is the Least Common Multiple of 17052 and 17066?

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 17066 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 17066, than apply into the LCM equation.

GCF(17052,17066) = 14
LCM(17052,17066) = ( 17052 × 17066) / 14
LCM(17052,17066) = 291009432 / 14
LCM(17052,17066) = 20786388

Least Common Multiple (LCM) of 17052 and 17066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17052 and 17066. First we will calculate the prime factors of 17052 and 17066.

Prime Factorization of 17052

Prime Factorization of 17066

Now multiplying the highest exponent prime factors to calculate the LCM of 17052 and 17066.

LCM(17052,17066) = 2² × 3¹ × 7² × 29¹ × 23¹ × 53¹
LCM(17052,17066) = 20786388