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 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 Factorization of 1530

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