What is the Least Common Multiple of 62524 and 62539?

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 62524 and 62539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62524 and 62539, than apply into the LCM equation.

GCF(62524,62539) = 1
LCM(62524,62539) = ( 62524 × 62539) / 1
LCM(62524,62539) = 3910188436 / 1
LCM(62524,62539) = 3910188436

Least Common Multiple (LCM) of 62524 and 62539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62524 and 62539. First we will calculate the prime factors of 62524 and 62539.

Prime Factorization of 62524

Prime Factorization of 62539

Now multiplying the highest exponent prime factors to calculate the LCM of 62524 and 62539.

LCM(62524,62539) = 2² × 7² × 11¹ × 29¹ × 62539¹
LCM(62524,62539) = 3910188436