What is the Least Common Multiple of 93545 and 93559?

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 93545 and 93559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93545 and 93559, than apply into the LCM equation.

GCF(93545,93559) = 1
LCM(93545,93559) = ( 93545 × 93559) / 1
LCM(93545,93559) = 8751976655 / 1
LCM(93545,93559) = 8751976655

Least Common Multiple (LCM) of 93545 and 93559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93545 and 93559. First we will calculate the prime factors of 93545 and 93559.

Prime Factorization of 93545

Prime Factorization of 93559

Now multiplying the highest exponent prime factors to calculate the LCM of 93545 and 93559.

LCM(93545,93559) = 5¹ × 53¹ × 353¹ × 93559¹
LCM(93545,93559) = 8751976655