GCF and LCM Calculator Logo

What is the Least Common Multiple of 5089 and 5104?

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 5089 and 5104 is 25974256.

LCM(5089,5104) = 25974256

LCM Calculator and
and

Least Common Multiple of 5089 and 5104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5089 and 5104, than apply into the LCM equation.

GCF(5089,5104) = 1
LCM(5089,5104) = ( 5089 × 5104) / 1
LCM(5089,5104) = 25974256 / 1
LCM(5089,5104) = 25974256

Least Common Multiple (LCM) of 5089 and 5104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5089 and 5104. First we will calculate the prime factors of 5089 and 5104.

Prime Factorization of 5089

Prime factors of 5089 are 7, 727. Prime factorization of 5089 in exponential form is:

5089 = 71 × 7271

Prime Factorization of 5104

Prime factors of 5104 are 2, 11, 29. Prime factorization of 5104 in exponential form is:

5104 = 24 × 111 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 5089 and 5104.

LCM(5089,5104) = 71 × 7271 × 24 × 111 × 291
LCM(5089,5104) = 25974256