GCF and LCM Calculator Logo

What is the Least Common Multiple of 28655 and 28671?

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 28655 and 28671 is 821567505.

LCM(28655,28671) = 821567505

LCM Calculator and
and

Least Common Multiple of 28655 and 28671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28655 and 28671, than apply into the LCM equation.

GCF(28655,28671) = 1
LCM(28655,28671) = ( 28655 × 28671) / 1
LCM(28655,28671) = 821567505 / 1
LCM(28655,28671) = 821567505

Least Common Multiple (LCM) of 28655 and 28671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28655 and 28671. First we will calculate the prime factors of 28655 and 28671.

Prime Factorization of 28655

Prime factors of 28655 are 5, 11, 521. Prime factorization of 28655 in exponential form is:

28655 = 51 × 111 × 5211

Prime Factorization of 28671

Prime factors of 28671 are 3, 19, 503. Prime factorization of 28671 in exponential form is:

28671 = 31 × 191 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 28655 and 28671.

LCM(28655,28671) = 51 × 111 × 5211 × 31 × 191 × 5031
LCM(28655,28671) = 821567505