GCF and LCM Calculator Logo

What is the Least Common Multiple of 1512 and 1530?

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 1512 and 1530 is 128520.

LCM(1512,1530) = 128520

LCM Calculator and
and

Least Common Multiple of 1512 and 1530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1512 and 1530, than apply into the LCM equation.

GCF(1512,1530) = 18
LCM(1512,1530) = ( 1512 × 1530) / 18
LCM(1512,1530) = 2313360 / 18
LCM(1512,1530) = 128520

Least Common Multiple (LCM) of 1512 and 1530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1512 and 1530. First we will calculate the prime factors of 1512 and 1530.

Prime Factorization of 1512

Prime factors of 1512 are 2, 3, 7. Prime factorization of 1512 in exponential form is:

1512 = 23 × 33 × 71

Prime Factorization of 1530

Prime factors of 1530 are 2, 3, 5, 17. Prime factorization of 1530 in exponential form is:

1530 = 21 × 32 × 51 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 1512 and 1530.

LCM(1512,1530) = 23 × 33 × 71 × 51 × 171
LCM(1512,1530) = 128520