GCF and LCM Calculator Logo

What is the Least Common Multiple of 12046 and 12066?

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 12046 and 12066 is 72673518.

LCM(12046,12066) = 72673518

LCM Calculator and
and

Least Common Multiple of 12046 and 12066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12046 and 12066, than apply into the LCM equation.

GCF(12046,12066) = 2
LCM(12046,12066) = ( 12046 × 12066) / 2
LCM(12046,12066) = 145347036 / 2
LCM(12046,12066) = 72673518

Least Common Multiple (LCM) of 12046 and 12066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12046 and 12066. First we will calculate the prime factors of 12046 and 12066.

Prime Factorization of 12046

Prime factors of 12046 are 2, 19, 317. Prime factorization of 12046 in exponential form is:

12046 = 21 × 191 × 3171

Prime Factorization of 12066

Prime factors of 12066 are 2, 3, 2011. Prime factorization of 12066 in exponential form is:

12066 = 21 × 31 × 20111

Now multiplying the highest exponent prime factors to calculate the LCM of 12046 and 12066.

LCM(12046,12066) = 21 × 191 × 3171 × 31 × 20111
LCM(12046,12066) = 72673518