GCF and LCM Calculator Logo

What is the Least Common Multiple of 28201 and 28213?

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 28201 and 28213 is 795634813.

LCM(28201,28213) = 795634813

LCM Calculator and
and

Least Common Multiple of 28201 and 28213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28201 and 28213, than apply into the LCM equation.

GCF(28201,28213) = 1
LCM(28201,28213) = ( 28201 × 28213) / 1
LCM(28201,28213) = 795634813 / 1
LCM(28201,28213) = 795634813

Least Common Multiple (LCM) of 28201 and 28213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28201 and 28213. First we will calculate the prime factors of 28201 and 28213.

Prime Factorization of 28201

Prime factors of 28201 are 28201. Prime factorization of 28201 in exponential form is:

28201 = 282011

Prime Factorization of 28213

Prime factors of 28213 are 89, 317. Prime factorization of 28213 in exponential form is:

28213 = 891 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 28201 and 28213.

LCM(28201,28213) = 282011 × 891 × 3171
LCM(28201,28213) = 795634813