What is the Least Common Multiple of 4584 and 4593?

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 4584 and 4593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4584 and 4593, than apply into the LCM equation.

GCF(4584,4593) = 3
LCM(4584,4593) = ( 4584 × 4593) / 3
LCM(4584,4593) = 21054312 / 3
LCM(4584,4593) = 7018104

Least Common Multiple (LCM) of 4584 and 4593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4584 and 4593. First we will calculate the prime factors of 4584 and 4593.

Prime Factorization of 4584

Prime Factorization of 4593

Now multiplying the highest exponent prime factors to calculate the LCM of 4584 and 4593.

LCM(4584,4593) = 2³ × 3¹ × 191¹ × 1531¹
LCM(4584,4593) = 7018104