GCF and LCM Calculator Logo

What is the Least Common Multiple of 12061 and 12065?

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 12061 and 12065 is 145515965.

LCM(12061,12065) = 145515965

LCM Calculator and
and

Least Common Multiple of 12061 and 12065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12061 and 12065, than apply into the LCM equation.

GCF(12061,12065) = 1
LCM(12061,12065) = ( 12061 × 12065) / 1
LCM(12061,12065) = 145515965 / 1
LCM(12061,12065) = 145515965

Least Common Multiple (LCM) of 12061 and 12065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12061 and 12065. First we will calculate the prime factors of 12061 and 12065.

Prime Factorization of 12061

Prime factors of 12061 are 7, 1723. Prime factorization of 12061 in exponential form is:

12061 = 71 × 17231

Prime Factorization of 12065

Prime factors of 12065 are 5, 19, 127. Prime factorization of 12065 in exponential form is:

12065 = 51 × 191 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 12061 and 12065.

LCM(12061,12065) = 71 × 17231 × 51 × 191 × 1271
LCM(12061,12065) = 145515965