What is the Least Common Multiple of 52584 and 52596?

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 52584 and 52596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52584 and 52596, than apply into the LCM equation.

GCF(52584,52596) = 12
LCM(52584,52596) = ( 52584 × 52596) / 12
LCM(52584,52596) = 2765708064 / 12
LCM(52584,52596) = 230475672

Least Common Multiple (LCM) of 52584 and 52596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52584 and 52596. First we will calculate the prime factors of 52584 and 52596.

Prime Factorization of 52584

Prime Factorization of 52596

Now multiplying the highest exponent prime factors to calculate the LCM of 52584 and 52596.

LCM(52584,52596) = 2³ × 3³ × 7¹ × 313¹ × 487¹
LCM(52584,52596) = 230475672