What is the Least Common Multiple of 87809 and 87823?

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 87809 and 87823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87809 and 87823, than apply into the LCM equation.

GCF(87809,87823) = 1
LCM(87809,87823) = ( 87809 × 87823) / 1
LCM(87809,87823) = 7711649807 / 1
LCM(87809,87823) = 7711649807

Least Common Multiple (LCM) of 87809 and 87823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87809 and 87823. First we will calculate the prime factors of 87809 and 87823.

Prime Factorization of 87809

Prime Factorization of 87823

Now multiplying the highest exponent prime factors to calculate the LCM of 87809 and 87823.

LCM(87809,87823) = 277¹ × 317¹ × 31¹ × 2833¹
LCM(87809,87823) = 7711649807