GCF and LCM Calculator Logo

What is the Least Common Multiple of 12040 and 12056?

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 12040 and 12056 is 18144280.

LCM(12040,12056) = 18144280

LCM Calculator and
and

Least Common Multiple of 12040 and 12056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12040 and 12056, than apply into the LCM equation.

GCF(12040,12056) = 8
LCM(12040,12056) = ( 12040 × 12056) / 8
LCM(12040,12056) = 145154240 / 8
LCM(12040,12056) = 18144280

Least Common Multiple (LCM) of 12040 and 12056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12040 and 12056. First we will calculate the prime factors of 12040 and 12056.

Prime Factorization of 12040

Prime factors of 12040 are 2, 5, 7, 43. Prime factorization of 12040 in exponential form is:

12040 = 23 × 51 × 71 × 431

Prime Factorization of 12056

Prime factors of 12056 are 2, 11, 137. Prime factorization of 12056 in exponential form is:

12056 = 23 × 111 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 12040 and 12056.

LCM(12040,12056) = 23 × 51 × 71 × 431 × 111 × 1371
LCM(12040,12056) = 18144280