What is the Least Common Multiple of 7512 and 7530?

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 7512 and 7530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7512 and 7530, than apply into the LCM equation.

GCF(7512,7530) = 6
LCM(7512,7530) = ( 7512 × 7530) / 6
LCM(7512,7530) = 56565360 / 6
LCM(7512,7530) = 9427560

Least Common Multiple (LCM) of 7512 and 7530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7512 and 7530. First we will calculate the prime factors of 7512 and 7530.

Prime Factorization of 7512

Prime Factorization of 7530

Now multiplying the highest exponent prime factors to calculate the LCM of 7512 and 7530.

LCM(7512,7530) = 2³ × 3¹ × 313¹ × 5¹ × 251¹
LCM(7512,7530) = 9427560