GCF and LCM Calculator Logo

What is the Least Common Multiple of 12072 and 12083?

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 12072 and 12083 is 145865976.

LCM(12072,12083) = 145865976

LCM Calculator and
and

Least Common Multiple of 12072 and 12083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12072 and 12083, than apply into the LCM equation.

GCF(12072,12083) = 1
LCM(12072,12083) = ( 12072 × 12083) / 1
LCM(12072,12083) = 145865976 / 1
LCM(12072,12083) = 145865976

Least Common Multiple (LCM) of 12072 and 12083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12072 and 12083. First we will calculate the prime factors of 12072 and 12083.

Prime Factorization of 12072

Prime factors of 12072 are 2, 3, 503. Prime factorization of 12072 in exponential form is:

12072 = 23 × 31 × 5031

Prime Factorization of 12083

Prime factors of 12083 are 43, 281. Prime factorization of 12083 in exponential form is:

12083 = 431 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 12072 and 12083.

LCM(12072,12083) = 23 × 31 × 5031 × 431 × 2811
LCM(12072,12083) = 145865976