GCF and LCM Calculator Logo

What is the Least Common Multiple of 16997 and 17003?

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 (LCM) of 16997 and 17003 is 288999991.

LCM(16997,17003) = 288999991

LCM Calculator and
and

Least Common Multiple of 16997 and 17003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16997 and 17003, than apply into the LCM equation.

GCF(16997,17003) = 1
LCM(16997,17003) = ( 16997 × 17003) / 1
LCM(16997,17003) = 288999991 / 1
LCM(16997,17003) = 288999991

Least Common Multiple (LCM) of 16997 and 17003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16997 and 17003. First we will calculate the prime factors of 16997 and 17003.

Prime Factorization of 16997

Prime factors of 16997 are 23, 739. Prime factorization of 16997 in exponential form is:

16997 = 231 × 7391

Prime Factorization of 17003

Prime factors of 17003 are 7, 347. Prime factorization of 17003 in exponential form is:

17003 = 72 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 16997 and 17003.

LCM(16997,17003) = 231 × 7391 × 72 × 3471
LCM(16997,17003) = 288999991