What is the Least Common Multiple of 93523 and 93541?

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 93523 and 93541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93523 and 93541, than apply into the LCM equation.

GCF(93523,93541) = 1
LCM(93523,93541) = ( 93523 × 93541) / 1
LCM(93523,93541) = 8748234943 / 1
LCM(93523,93541) = 8748234943

Least Common Multiple (LCM) of 93523 and 93541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93523 and 93541. First we will calculate the prime factors of 93523 and 93541.

Prime Factorization of 93523

Prime Factorization of 93541

Now multiplying the highest exponent prime factors to calculate the LCM of 93523 and 93541.

LCM(93523,93541) = 93523¹ × 7² × 23¹ × 83¹
LCM(93523,93541) = 8748234943