GCF and LCM Calculator Logo

What is the Least Common Multiple of 12173 and 12190?

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 12173 and 12190 is 148388870.

LCM(12173,12190) = 148388870

LCM Calculator and
and

Least Common Multiple of 12173 and 12190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12173 and 12190, than apply into the LCM equation.

GCF(12173,12190) = 1
LCM(12173,12190) = ( 12173 × 12190) / 1
LCM(12173,12190) = 148388870 / 1
LCM(12173,12190) = 148388870

Least Common Multiple (LCM) of 12173 and 12190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12173 and 12190. First we will calculate the prime factors of 12173 and 12190.

Prime Factorization of 12173

Prime factors of 12173 are 7, 37, 47. Prime factorization of 12173 in exponential form is:

12173 = 71 × 371 × 471

Prime Factorization of 12190

Prime factors of 12190 are 2, 5, 23, 53. Prime factorization of 12190 in exponential form is:

12190 = 21 × 51 × 231 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 12173 and 12190.

LCM(12173,12190) = 71 × 371 × 471 × 21 × 51 × 231 × 531
LCM(12173,12190) = 148388870