GCF and LCM Calculator Logo

What is the Least Common Multiple of 5444 and 5452?

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 5444 and 5452 is 7420172.

LCM(5444,5452) = 7420172

LCM Calculator and
and

Least Common Multiple of 5444 and 5452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5444 and 5452, than apply into the LCM equation.

GCF(5444,5452) = 4
LCM(5444,5452) = ( 5444 × 5452) / 4
LCM(5444,5452) = 29680688 / 4
LCM(5444,5452) = 7420172

Least Common Multiple (LCM) of 5444 and 5452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5444 and 5452. First we will calculate the prime factors of 5444 and 5452.

Prime Factorization of 5444

Prime factors of 5444 are 2, 1361. Prime factorization of 5444 in exponential form is:

5444 = 22 × 13611

Prime Factorization of 5452

Prime factors of 5452 are 2, 29, 47. Prime factorization of 5452 in exponential form is:

5452 = 22 × 291 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 5444 and 5452.

LCM(5444,5452) = 22 × 13611 × 291 × 471
LCM(5444,5452) = 7420172