What is the Least Common Multiple of 62584 and 62596?

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 62584 and 62596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62584 and 62596, than apply into the LCM equation.

GCF(62584,62596) = 4
LCM(62584,62596) = ( 62584 × 62596) / 4
LCM(62584,62596) = 3917508064 / 4
LCM(62584,62596) = 979377016

Least Common Multiple (LCM) of 62584 and 62596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62584 and 62596. First we will calculate the prime factors of 62584 and 62596.

Prime Factorization of 62584

Prime Factorization of 62596

Now multiplying the highest exponent prime factors to calculate the LCM of 62584 and 62596.

LCM(62584,62596) = 2³ × 7823¹ × 15649¹
LCM(62584,62596) = 979377016