GCF and LCM Calculator Logo

What is the Least Common Multiple of 12173 and 12177?

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 12177 is 148230621.

LCM(12173,12177) = 148230621

LCM Calculator and
and

Least Common Multiple of 12173 and 12177 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 12177, than apply into the LCM equation.

GCF(12173,12177) = 1
LCM(12173,12177) = ( 12173 × 12177) / 1
LCM(12173,12177) = 148230621 / 1
LCM(12173,12177) = 148230621

Least Common Multiple (LCM) of 12173 and 12177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12173 and 12177. First we will calculate the prime factors of 12173 and 12177.

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 12177

Prime factors of 12177 are 3, 11, 41. Prime factorization of 12177 in exponential form is:

12177 = 33 × 111 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 12173 and 12177.

LCM(12173,12177) = 71 × 371 × 471 × 33 × 111 × 411
LCM(12173,12177) = 148230621