What is the Least Common Multiple of 96591 and 96601?

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 96591 and 96601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96591 and 96601, than apply into the LCM equation.

GCF(96591,96601) = 1
LCM(96591,96601) = ( 96591 × 96601) / 1
LCM(96591,96601) = 9330787191 / 1
LCM(96591,96601) = 9330787191

Least Common Multiple (LCM) of 96591 and 96601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96591 and 96601. First we will calculate the prime factors of 96591 and 96601.

Prime Factorization of 96591

Prime Factorization of 96601

Now multiplying the highest exponent prime factors to calculate the LCM of 96591 and 96601.

LCM(96591,96601) = 3¹ × 11¹ × 2927¹ × 96601¹
LCM(96591,96601) = 9330787191