GCF and LCM Calculator Logo

What is the Least Common Multiple of 28091 and 28097?

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 28091 and 28097 is 789272827.

LCM(28091,28097) = 789272827

LCM Calculator and
and

Least Common Multiple of 28091 and 28097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28091 and 28097, than apply into the LCM equation.

GCF(28091,28097) = 1
LCM(28091,28097) = ( 28091 × 28097) / 1
LCM(28091,28097) = 789272827 / 1
LCM(28091,28097) = 789272827

Least Common Multiple (LCM) of 28091 and 28097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28091 and 28097. First we will calculate the prime factors of 28091 and 28097.

Prime Factorization of 28091

Prime factors of 28091 are 7, 4013. Prime factorization of 28091 in exponential form is:

28091 = 71 × 40131

Prime Factorization of 28097

Prime factors of 28097 are 28097. Prime factorization of 28097 in exponential form is:

28097 = 280971

Now multiplying the highest exponent prime factors to calculate the LCM of 28091 and 28097.

LCM(28091,28097) = 71 × 40131 × 280971
LCM(28091,28097) = 789272827