What is the Least Common Multiple of 71593 and 71601?

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 71593 and 71601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71593 and 71601, than apply into the LCM equation.

GCF(71593,71601) = 1
LCM(71593,71601) = ( 71593 × 71601) / 1
LCM(71593,71601) = 5126130393 / 1
LCM(71593,71601) = 5126130393

Least Common Multiple (LCM) of 71593 and 71601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71593 and 71601. First we will calculate the prime factors of 71593 and 71601.

Prime Factorization of 71593

Prime Factorization of 71601

Now multiplying the highest exponent prime factors to calculate the LCM of 71593 and 71601.

LCM(71593,71601) = 71593¹ × 3¹ × 29¹ × 823¹
LCM(71593,71601) = 5126130393