What is the Least Common Multiple of 15512 and 15530?

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 15512 and 15530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15512 and 15530, than apply into the LCM equation.

GCF(15512,15530) = 2
LCM(15512,15530) = ( 15512 × 15530) / 2
LCM(15512,15530) = 240901360 / 2
LCM(15512,15530) = 120450680

Least Common Multiple (LCM) of 15512 and 15530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15512 and 15530. First we will calculate the prime factors of 15512 and 15530.

Prime Factorization of 15512

Prime Factorization of 15530

Now multiplying the highest exponent prime factors to calculate the LCM of 15512 and 15530.

LCM(15512,15530) = 2³ × 7¹ × 277¹ × 5¹ × 1553¹
LCM(15512,15530) = 120450680