What is the Least Common Multiple of 87505 and 87513?

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 87505 and 87513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87505 and 87513, than apply into the LCM equation.

GCF(87505,87513) = 1
LCM(87505,87513) = ( 87505 × 87513) / 1
LCM(87505,87513) = 7657825065 / 1
LCM(87505,87513) = 7657825065

Least Common Multiple (LCM) of 87505 and 87513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87505 and 87513. First we will calculate the prime factors of 87505 and 87513.

Prime Factorization of 87505

Prime Factorization of 87513

Now multiplying the highest exponent prime factors to calculate the LCM of 87505 and 87513.

LCM(87505,87513) = 5¹ × 11¹ × 37¹ × 43¹ × 3¹ × 31¹ × 941¹
LCM(87505,87513) = 7657825065