GCF and LCM Calculator Logo

What is the Least Common Multiple of 12057 and 12068?

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 12057 and 12068 is 145503876.

LCM(12057,12068) = 145503876

LCM Calculator and
and

Least Common Multiple of 12057 and 12068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12057 and 12068, than apply into the LCM equation.

GCF(12057,12068) = 1
LCM(12057,12068) = ( 12057 × 12068) / 1
LCM(12057,12068) = 145503876 / 1
LCM(12057,12068) = 145503876

Least Common Multiple (LCM) of 12057 and 12068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12057 and 12068. First we will calculate the prime factors of 12057 and 12068.

Prime Factorization of 12057

Prime factors of 12057 are 3, 4019. Prime factorization of 12057 in exponential form is:

12057 = 31 × 40191

Prime Factorization of 12068

Prime factors of 12068 are 2, 7, 431. Prime factorization of 12068 in exponential form is:

12068 = 22 × 71 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 12057 and 12068.

LCM(12057,12068) = 31 × 40191 × 22 × 71 × 4311
LCM(12057,12068) = 145503876