GCF and LCM Calculator Logo

What is the Least Common Multiple of 28663 and 28673?

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 28663 and 28673 is 821854199.

LCM(28663,28673) = 821854199

LCM Calculator and
and

Least Common Multiple of 28663 and 28673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28663 and 28673, than apply into the LCM equation.

GCF(28663,28673) = 1
LCM(28663,28673) = ( 28663 × 28673) / 1
LCM(28663,28673) = 821854199 / 1
LCM(28663,28673) = 821854199

Least Common Multiple (LCM) of 28663 and 28673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28663 and 28673. First we will calculate the prime factors of 28663 and 28673.

Prime Factorization of 28663

Prime factors of 28663 are 28663. Prime factorization of 28663 in exponential form is:

28663 = 286631

Prime Factorization of 28673

Prime factors of 28673 are 53, 541. Prime factorization of 28673 in exponential form is:

28673 = 531 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 28663 and 28673.

LCM(28663,28673) = 286631 × 531 × 5411
LCM(28663,28673) = 821854199