What is the Least Common Multiple of 88505 and 88513?

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 88505 and 88513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88505 and 88513, than apply into the LCM equation.

GCF(88505,88513) = 1
LCM(88505,88513) = ( 88505 × 88513) / 1
LCM(88505,88513) = 7833843065 / 1
LCM(88505,88513) = 7833843065

Least Common Multiple (LCM) of 88505 and 88513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88505 and 88513. First we will calculate the prime factors of 88505 and 88513.

Prime Factorization of 88505

Prime Factorization of 88513

Now multiplying the highest exponent prime factors to calculate the LCM of 88505 and 88513.

LCM(88505,88513) = 5¹ × 31¹ × 571¹ × 88513¹
LCM(88505,88513) = 7833843065