What is the Least Common Multiple of 62513 and 62524?

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 62524 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 62524, than apply into the LCM equation.

GCF(62513,62524) = 11
LCM(62513,62524) = ( 62513 × 62524) / 11
LCM(62513,62524) = 3908562812 / 11
LCM(62513,62524) = 355323892

Least Common Multiple (LCM) of 62513 and 62524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62513 and 62524. First we will calculate the prime factors of 62513 and 62524.

Prime Factorization of 62513

Prime Factorization of 62524

Now multiplying the highest exponent prime factors to calculate the LCM of 62513 and 62524.

LCM(62513,62524) = 11¹ × 5683¹ × 2² × 7² × 29¹
LCM(62513,62524) = 355323892