GCF and LCM Calculator Logo

What is the Least Common Multiple of 12092 and 12110?

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 12092 and 12110 is 73217060.

LCM(12092,12110) = 73217060

LCM Calculator and
and

Least Common Multiple of 12092 and 12110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12092 and 12110, than apply into the LCM equation.

GCF(12092,12110) = 2
LCM(12092,12110) = ( 12092 × 12110) / 2
LCM(12092,12110) = 146434120 / 2
LCM(12092,12110) = 73217060

Least Common Multiple (LCM) of 12092 and 12110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12092 and 12110. First we will calculate the prime factors of 12092 and 12110.

Prime Factorization of 12092

Prime factors of 12092 are 2, 3023. Prime factorization of 12092 in exponential form is:

12092 = 22 × 30231

Prime Factorization of 12110

Prime factors of 12110 are 2, 5, 7, 173. Prime factorization of 12110 in exponential form is:

12110 = 21 × 51 × 71 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 12092 and 12110.

LCM(12092,12110) = 22 × 30231 × 51 × 71 × 1731
LCM(12092,12110) = 73217060