What is the Least Common Multiple of 62586 and 62592?

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 62586 and 62592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62586 and 62592, than apply into the LCM equation.

GCF(62586,62592) = 6
LCM(62586,62592) = ( 62586 × 62592) / 6
LCM(62586,62592) = 3917382912 / 6
LCM(62586,62592) = 652897152

Least Common Multiple (LCM) of 62586 and 62592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62586 and 62592. First we will calculate the prime factors of 62586 and 62592.

Prime Factorization of 62586

Prime Factorization of 62592

Now multiplying the highest exponent prime factors to calculate the LCM of 62586 and 62592.

LCM(62586,62592) = 2⁷ × 3³ × 19¹ × 61¹ × 163¹
LCM(62586,62592) = 652897152