GCF and LCM Calculator Logo

What is the Least Common Multiple of 13212 and 13219?

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 13212 and 13219 is 174649428.

LCM(13212,13219) = 174649428

LCM Calculator and
and

Least Common Multiple of 13212 and 13219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13212 and 13219, than apply into the LCM equation.

GCF(13212,13219) = 1
LCM(13212,13219) = ( 13212 × 13219) / 1
LCM(13212,13219) = 174649428 / 1
LCM(13212,13219) = 174649428

Least Common Multiple (LCM) of 13212 and 13219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13212 and 13219. First we will calculate the prime factors of 13212 and 13219.

Prime Factorization of 13212

Prime factors of 13212 are 2, 3, 367. Prime factorization of 13212 in exponential form is:

13212 = 22 × 32 × 3671

Prime Factorization of 13219

Prime factors of 13219 are 13219. Prime factorization of 13219 in exponential form is:

13219 = 132191

Now multiplying the highest exponent prime factors to calculate the LCM of 13212 and 13219.

LCM(13212,13219) = 22 × 32 × 3671 × 132191
LCM(13212,13219) = 174649428