What is the Least Common Multiple of 17009 and 17024?

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 17009 and 17024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17009 and 17024, than apply into the LCM equation.

GCF(17009,17024) = 1
LCM(17009,17024) = ( 17009 × 17024) / 1
LCM(17009,17024) = 289561216 / 1
LCM(17009,17024) = 289561216

Least Common Multiple (LCM) of 17009 and 17024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17009 and 17024. First we will calculate the prime factors of 17009 and 17024.

Prime Factorization of 17009

Prime Factorization of 17024

Now multiplying the highest exponent prime factors to calculate the LCM of 17009 and 17024.

LCM(17009,17024) = 73¹ × 233¹ × 2⁷ × 7¹ × 19¹
LCM(17009,17024) = 289561216