GCF and LCM Calculator Logo

What is the Least Common Multiple of 12164 and 12171?

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 12164 and 12171 is 148048044.

LCM(12164,12171) = 148048044

LCM Calculator and
and

Least Common Multiple of 12164 and 12171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12164 and 12171, than apply into the LCM equation.

GCF(12164,12171) = 1
LCM(12164,12171) = ( 12164 × 12171) / 1
LCM(12164,12171) = 148048044 / 1
LCM(12164,12171) = 148048044

Least Common Multiple (LCM) of 12164 and 12171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12164 and 12171. First we will calculate the prime factors of 12164 and 12171.

Prime Factorization of 12164

Prime factors of 12164 are 2, 3041. Prime factorization of 12164 in exponential form is:

12164 = 22 × 30411

Prime Factorization of 12171

Prime factors of 12171 are 3, 4057. Prime factorization of 12171 in exponential form is:

12171 = 31 × 40571

Now multiplying the highest exponent prime factors to calculate the LCM of 12164 and 12171.

LCM(12164,12171) = 22 × 30411 × 31 × 40571
LCM(12164,12171) = 148048044