GCF and LCM Calculator Logo

What is the Least Common Multiple of 17027 and 17039?

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 17027 and 17039 is 290123053.

LCM(17027,17039) = 290123053

LCM Calculator and
and

Least Common Multiple of 17027 and 17039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17027 and 17039, than apply into the LCM equation.

GCF(17027,17039) = 1
LCM(17027,17039) = ( 17027 × 17039) / 1
LCM(17027,17039) = 290123053 / 1
LCM(17027,17039) = 290123053

Least Common Multiple (LCM) of 17027 and 17039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17027 and 17039. First we will calculate the prime factors of 17027 and 17039.

Prime Factorization of 17027

Prime factors of 17027 are 17027. Prime factorization of 17027 in exponential form is:

17027 = 170271

Prime Factorization of 17039

Prime factors of 17039 are 11, 1549. Prime factorization of 17039 in exponential form is:

17039 = 111 × 15491

Now multiplying the highest exponent prime factors to calculate the LCM of 17027 and 17039.

LCM(17027,17039) = 170271 × 111 × 15491
LCM(17027,17039) = 290123053