What is the Least Common Multiple of 87504 and 87510?

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 87504 and 87510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87504 and 87510, than apply into the LCM equation.

GCF(87504,87510) = 6
LCM(87504,87510) = ( 87504 × 87510) / 6
LCM(87504,87510) = 7657475040 / 6
LCM(87504,87510) = 1276245840

Least Common Multiple (LCM) of 87504 and 87510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87504 and 87510. First we will calculate the prime factors of 87504 and 87510.

Prime Factorization of 87504

Prime Factorization of 87510

Now multiplying the highest exponent prime factors to calculate the LCM of 87504 and 87510.

LCM(87504,87510) = 2⁴ × 3¹ × 1823¹ × 5¹ × 2917¹
LCM(87504,87510) = 1276245840