GCF and LCM Calculator Logo

What is the Least Common Multiple of 17721 and 17729?

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 17721 and 17729 is 314175609.

LCM(17721,17729) = 314175609

LCM Calculator and
and

Least Common Multiple of 17721 and 17729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17721 and 17729, than apply into the LCM equation.

GCF(17721,17729) = 1
LCM(17721,17729) = ( 17721 × 17729) / 1
LCM(17721,17729) = 314175609 / 1
LCM(17721,17729) = 314175609

Least Common Multiple (LCM) of 17721 and 17729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17721 and 17729. First we will calculate the prime factors of 17721 and 17729.

Prime Factorization of 17721

Prime factors of 17721 are 3, 11, 179. Prime factorization of 17721 in exponential form is:

17721 = 32 × 111 × 1791

Prime Factorization of 17729

Prime factors of 17729 are 17729. Prime factorization of 17729 in exponential form is:

17729 = 177291

Now multiplying the highest exponent prime factors to calculate the LCM of 17721 and 17729.

LCM(17721,17729) = 32 × 111 × 1791 × 177291
LCM(17721,17729) = 314175609