What is the Least Common Multiple of 87599 and 87617?

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 87599 and 87617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87599 and 87617, than apply into the LCM equation.

GCF(87599,87617) = 1
LCM(87599,87617) = ( 87599 × 87617) / 1
LCM(87599,87617) = 7675161583 / 1
LCM(87599,87617) = 7675161583

Least Common Multiple (LCM) of 87599 and 87617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87599 and 87617. First we will calculate the prime factors of 87599 and 87617.

Prime Factorization of 87599

Prime Factorization of 87617

Now multiplying the highest exponent prime factors to calculate the LCM of 87599 and 87617.

LCM(87599,87617) = 251¹ × 349¹ × 41¹ × 2137¹
LCM(87599,87617) = 7675161583