GCF and LCM Calculator Logo

What is the Least Common Multiple of 12076 and 12093?

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 12076 and 12093 is 146035068.

LCM(12076,12093) = 146035068

LCM Calculator and
and

Least Common Multiple of 12076 and 12093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12076 and 12093, than apply into the LCM equation.

GCF(12076,12093) = 1
LCM(12076,12093) = ( 12076 × 12093) / 1
LCM(12076,12093) = 146035068 / 1
LCM(12076,12093) = 146035068

Least Common Multiple (LCM) of 12076 and 12093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12076 and 12093. First we will calculate the prime factors of 12076 and 12093.

Prime Factorization of 12076

Prime factors of 12076 are 2, 3019. Prime factorization of 12076 in exponential form is:

12076 = 22 × 30191

Prime Factorization of 12093

Prime factors of 12093 are 3, 29, 139. Prime factorization of 12093 in exponential form is:

12093 = 31 × 291 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 12076 and 12093.

LCM(12076,12093) = 22 × 30191 × 31 × 291 × 1391
LCM(12076,12093) = 146035068