GCF and LCM Calculator Logo

What is the Least Common Multiple of 6129 and 6144?

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 6129 and 6144 is 12552192.

LCM(6129,6144) = 12552192

LCM Calculator and
and

Least Common Multiple of 6129 and 6144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6129 and 6144, than apply into the LCM equation.

GCF(6129,6144) = 3
LCM(6129,6144) = ( 6129 × 6144) / 3
LCM(6129,6144) = 37656576 / 3
LCM(6129,6144) = 12552192

Least Common Multiple (LCM) of 6129 and 6144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6129 and 6144. First we will calculate the prime factors of 6129 and 6144.

Prime Factorization of 6129

Prime factors of 6129 are 3, 227. Prime factorization of 6129 in exponential form is:

6129 = 33 × 2271

Prime Factorization of 6144

Prime factors of 6144 are 2, 3. Prime factorization of 6144 in exponential form is:

6144 = 211 × 31

Now multiplying the highest exponent prime factors to calculate the LCM of 6129 and 6144.

LCM(6129,6144) = 33 × 2271 × 211
LCM(6129,6144) = 12552192