What is the Least Common Multiple of 17007 and 17020?

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 17007 and 17020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17007 and 17020, than apply into the LCM equation.

GCF(17007,17020) = 1
LCM(17007,17020) = ( 17007 × 17020) / 1
LCM(17007,17020) = 289459140 / 1
LCM(17007,17020) = 289459140

Least Common Multiple (LCM) of 17007 and 17020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17007 and 17020. First we will calculate the prime factors of 17007 and 17020.

Prime Factorization of 17007

Prime Factorization of 17020

Now multiplying the highest exponent prime factors to calculate the LCM of 17007 and 17020.

LCM(17007,17020) = 3¹ × 5669¹ × 2² × 5¹ × 23¹ × 37¹
LCM(17007,17020) = 289459140