GCF and LCM Calculator Logo

What is the Least Common Multiple of 28391 and 28397?

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 28391 and 28397 is 806219227.

LCM(28391,28397) = 806219227

LCM Calculator and
and

Least Common Multiple of 28391 and 28397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28391 and 28397, than apply into the LCM equation.

GCF(28391,28397) = 1
LCM(28391,28397) = ( 28391 × 28397) / 1
LCM(28391,28397) = 806219227 / 1
LCM(28391,28397) = 806219227

Least Common Multiple (LCM) of 28391 and 28397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28391 and 28397. First we will calculate the prime factors of 28391 and 28397.

Prime Factorization of 28391

Prime factors of 28391 are 11, 29, 89. Prime factorization of 28391 in exponential form is:

28391 = 111 × 291 × 891

Prime Factorization of 28397

Prime factors of 28397 are 73, 389. Prime factorization of 28397 in exponential form is:

28397 = 731 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 28391 and 28397.

LCM(28391,28397) = 111 × 291 × 891 × 731 × 3891
LCM(28391,28397) = 806219227