What is the Least Common Multiple of 93588 and 93599?

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 93588 and 93599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93588 and 93599, than apply into the LCM equation.

GCF(93588,93599) = 11
LCM(93588,93599) = ( 93588 × 93599) / 11
LCM(93588,93599) = 8759743212 / 11
LCM(93588,93599) = 796340292

Least Common Multiple (LCM) of 93588 and 93599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93588 and 93599. First we will calculate the prime factors of 93588 and 93599.

Prime Factorization of 93588

Prime Factorization of 93599

Now multiplying the highest exponent prime factors to calculate the LCM of 93588 and 93599.

LCM(93588,93599) = 2² × 3¹ × 11¹ × 709¹ × 67¹ × 127¹
LCM(93588,93599) = 796340292