What is the Least Common Multiple of 96578 and 96593?

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 96578 and 96593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96578 and 96593, than apply into the LCM equation.

GCF(96578,96593) = 1
LCM(96578,96593) = ( 96578 × 96593) / 1
LCM(96578,96593) = 9328758754 / 1
LCM(96578,96593) = 9328758754

Least Common Multiple (LCM) of 96578 and 96593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96578 and 96593. First we will calculate the prime factors of 96578 and 96593.

Prime Factorization of 96578

Prime Factorization of 96593

Now multiplying the highest exponent prime factors to calculate the LCM of 96578 and 96593.

LCM(96578,96593) = 2¹ × 43¹ × 1123¹ × 7¹ × 13799¹
LCM(96578,96593) = 9328758754