GCF and LCM Calculator Logo

What is the Least Common Multiple of 28713 and 28719?

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 28713 and 28719 is 274869549.

LCM(28713,28719) = 274869549

LCM Calculator and
and

Least Common Multiple of 28713 and 28719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28713 and 28719, than apply into the LCM equation.

GCF(28713,28719) = 3
LCM(28713,28719) = ( 28713 × 28719) / 3
LCM(28713,28719) = 824608647 / 3
LCM(28713,28719) = 274869549

Least Common Multiple (LCM) of 28713 and 28719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28713 and 28719. First we will calculate the prime factors of 28713 and 28719.

Prime Factorization of 28713

Prime factors of 28713 are 3, 17, 563. Prime factorization of 28713 in exponential form is:

28713 = 31 × 171 × 5631

Prime Factorization of 28719

Prime factors of 28719 are 3, 3191. Prime factorization of 28719 in exponential form is:

28719 = 32 × 31911

Now multiplying the highest exponent prime factors to calculate the LCM of 28713 and 28719.

LCM(28713,28719) = 32 × 171 × 5631 × 31911
LCM(28713,28719) = 274869549