What is the Least Common Multiple of 62508 and 62513?

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 62508 and 62513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62508 and 62513, than apply into the LCM equation.

GCF(62508,62513) = 1
LCM(62508,62513) = ( 62508 × 62513) / 1
LCM(62508,62513) = 3907562604 / 1
LCM(62508,62513) = 3907562604

Least Common Multiple (LCM) of 62508 and 62513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62508 and 62513. First we will calculate the prime factors of 62508 and 62513.

Prime Factorization of 62508

Prime Factorization of 62513

Now multiplying the highest exponent prime factors to calculate the LCM of 62508 and 62513.

LCM(62508,62513) = 2² × 3¹ × 5209¹ × 11¹ × 5683¹
LCM(62508,62513) = 3907562604