What is the Least Common Multiple of 16989 and 17009?

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 16989 and 17009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16989 and 17009, than apply into the LCM equation.

GCF(16989,17009) = 1
LCM(16989,17009) = ( 16989 × 17009) / 1
LCM(16989,17009) = 288965901 / 1
LCM(16989,17009) = 288965901

Least Common Multiple (LCM) of 16989 and 17009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16989 and 17009. First we will calculate the prime factors of 16989 and 17009.

Prime Factorization of 16989

Prime Factorization of 17009

Now multiplying the highest exponent prime factors to calculate the LCM of 16989 and 17009.

LCM(16989,17009) = 3¹ × 7¹ × 809¹ × 73¹ × 233¹
LCM(16989,17009) = 288965901