What is the Least Common Multiple of 16986 and 17001?

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 16986 and 17001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16986 and 17001, than apply into the LCM equation.

GCF(16986,17001) = 3
LCM(16986,17001) = ( 16986 × 17001) / 3
LCM(16986,17001) = 288778986 / 3
LCM(16986,17001) = 96259662

Least Common Multiple (LCM) of 16986 and 17001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16986 and 17001. First we will calculate the prime factors of 16986 and 17001.

Prime Factorization of 16986

Prime Factorization of 17001

Now multiplying the highest exponent prime factors to calculate the LCM of 16986 and 17001.

LCM(16986,17001) = 2¹ × 3² × 19¹ × 149¹ × 1889¹
LCM(16986,17001) = 96259662