What is the Least Common Multiple of 78585 and 78593?

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 78585 and 78593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78585 and 78593, than apply into the LCM equation.

GCF(78585,78593) = 1
LCM(78585,78593) = ( 78585 × 78593) / 1
LCM(78585,78593) = 6176230905 / 1
LCM(78585,78593) = 6176230905

Least Common Multiple (LCM) of 78585 and 78593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78585 and 78593. First we will calculate the prime factors of 78585 and 78593.

Prime Factorization of 78585

Prime Factorization of 78593

Now multiplying the highest exponent prime factors to calculate the LCM of 78585 and 78593.

LCM(78585,78593) = 3¹ × 5¹ × 13² × 31¹ × 78593¹
LCM(78585,78593) = 6176230905