What is the Least Common Multiple of 87809 and 87817?

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 87817 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 87817, than apply into the LCM equation.

GCF(87809,87817) = 1
LCM(87809,87817) = ( 87809 × 87817) / 1
LCM(87809,87817) = 7711122953 / 1
LCM(87809,87817) = 7711122953

Least Common Multiple (LCM) of 87809 and 87817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87809 and 87817. First we will calculate the prime factors of 87809 and 87817.

Prime Factorization of 87809

Prime Factorization of 87817

Now multiplying the highest exponent prime factors to calculate the LCM of 87809 and 87817.

LCM(87809,87817) = 277¹ × 317¹ × 137¹ × 641¹
LCM(87809,87817) = 7711122953