What is the Least Common Multiple of 93541 and 93557?

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 93541 and 93557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93541 and 93557, than apply into the LCM equation.

GCF(93541,93557) = 1
LCM(93541,93557) = ( 93541 × 93557) / 1
LCM(93541,93557) = 8751415337 / 1
LCM(93541,93557) = 8751415337

Least Common Multiple (LCM) of 93541 and 93557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93541 and 93557. First we will calculate the prime factors of 93541 and 93557.

Prime Factorization of 93541

Prime Factorization of 93557

Now multiplying the highest exponent prime factors to calculate the LCM of 93541 and 93557.

LCM(93541,93557) = 7² × 23¹ × 83¹ × 93557¹
LCM(93541,93557) = 8751415337