GCF and LCM Calculator Logo

What is the Least Common Multiple of 5204 and 5211?

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 5204 and 5211 is 27118044.

LCM(5204,5211) = 27118044

LCM Calculator and
and

Least Common Multiple of 5204 and 5211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5204 and 5211, than apply into the LCM equation.

GCF(5204,5211) = 1
LCM(5204,5211) = ( 5204 × 5211) / 1
LCM(5204,5211) = 27118044 / 1
LCM(5204,5211) = 27118044

Least Common Multiple (LCM) of 5204 and 5211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5204 and 5211. First we will calculate the prime factors of 5204 and 5211.

Prime Factorization of 5204

Prime factors of 5204 are 2, 1301. Prime factorization of 5204 in exponential form is:

5204 = 22 × 13011

Prime Factorization of 5211

Prime factors of 5211 are 3, 193. Prime factorization of 5211 in exponential form is:

5211 = 33 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 5204 and 5211.

LCM(5204,5211) = 22 × 13011 × 33 × 1931
LCM(5204,5211) = 27118044