What is the Least Common Multiple of 4584 and 4596?

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 4596 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 4596, than apply into the LCM equation.

GCF(4584,4596) = 12
LCM(4584,4596) = ( 4584 × 4596) / 12
LCM(4584,4596) = 21068064 / 12
LCM(4584,4596) = 1755672

Least Common Multiple (LCM) of 4584 and 4596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4584 and 4596. First we will calculate the prime factors of 4584 and 4596.

Prime Factorization of 4584

Prime Factorization of 4596

Now multiplying the highest exponent prime factors to calculate the LCM of 4584 and 4596.

LCM(4584,4596) = 2³ × 3¹ × 191¹ × 383¹
LCM(4584,4596) = 1755672