What is the Least Common Multiple of 16983 and 17002?

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 16983 and 17002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16983 and 17002, than apply into the LCM equation.

GCF(16983,17002) = 1
LCM(16983,17002) = ( 16983 × 17002) / 1
LCM(16983,17002) = 288744966 / 1
LCM(16983,17002) = 288744966

Least Common Multiple (LCM) of 16983 and 17002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16983 and 17002. First we will calculate the prime factors of 16983 and 17002.

Prime Factorization of 16983

Prime Factorization of 17002

Now multiplying the highest exponent prime factors to calculate the LCM of 16983 and 17002.

LCM(16983,17002) = 3³ × 17¹ × 37¹ × 2¹ × 8501¹
LCM(16983,17002) = 288744966