What is the Least Common Multiple of 1512 and 1531?

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 1531 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 1531, than apply into the LCM equation.

GCF(1512,1531) = 1
LCM(1512,1531) = ( 1512 × 1531) / 1
LCM(1512,1531) = 2314872 / 1
LCM(1512,1531) = 2314872

Least Common Multiple (LCM) of 1512 and 1531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1512 and 1531. First we will calculate the prime factors of 1512 and 1531.

Prime Factorization of 1512

Prime Factorization of 1531

Now multiplying the highest exponent prime factors to calculate the LCM of 1512 and 1531.

LCM(1512,1531) = 2³ × 3³ × 7¹ × 1531¹
LCM(1512,1531) = 2314872