GCF and LCM Calculator Logo

What is the Least Common Multiple of 28645 and 28660?

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 28645 and 28660 is 164193140.

LCM(28645,28660) = 164193140

LCM Calculator and
and

Least Common Multiple of 28645 and 28660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28645 and 28660, than apply into the LCM equation.

GCF(28645,28660) = 5
LCM(28645,28660) = ( 28645 × 28660) / 5
LCM(28645,28660) = 820965700 / 5
LCM(28645,28660) = 164193140

Least Common Multiple (LCM) of 28645 and 28660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28645 and 28660. First we will calculate the prime factors of 28645 and 28660.

Prime Factorization of 28645

Prime factors of 28645 are 5, 17, 337. Prime factorization of 28645 in exponential form is:

28645 = 51 × 171 × 3371

Prime Factorization of 28660

Prime factors of 28660 are 2, 5, 1433. Prime factorization of 28660 in exponential form is:

28660 = 22 × 51 × 14331

Now multiplying the highest exponent prime factors to calculate the LCM of 28645 and 28660.

LCM(28645,28660) = 51 × 171 × 3371 × 22 × 14331
LCM(28645,28660) = 164193140