What is the Least Common Multiple of 62513 and 62523?

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 62513 and 62523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62513 and 62523, than apply into the LCM equation.

GCF(62513,62523) = 1
LCM(62513,62523) = ( 62513 × 62523) / 1
LCM(62513,62523) = 3908500299 / 1
LCM(62513,62523) = 3908500299

Least Common Multiple (LCM) of 62513 and 62523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62513 and 62523. First we will calculate the prime factors of 62513 and 62523.

Prime Factorization of 62513

Prime Factorization of 62523

Now multiplying the highest exponent prime factors to calculate the LCM of 62513 and 62523.

LCM(62513,62523) = 11¹ × 5683¹ × 3² × 6947¹
LCM(62513,62523) = 3908500299