What is the Least Common Multiple of 62506 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 62506 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 62506 and 62524, than apply into the LCM equation.

GCF(62506,62524) = 2
LCM(62506,62524) = ( 62506 × 62524) / 2
LCM(62506,62524) = 3908125144 / 2
LCM(62506,62524) = 1954062572

Least Common Multiple (LCM) of 62506 and 62524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62506 and 62524. First we will calculate the prime factors of 62506 and 62524.

Prime Factorization of 62506

Prime Factorization of 62524

Now multiplying the highest exponent prime factors to calculate the LCM of 62506 and 62524.

LCM(62506,62524) = 2² × 31253¹ × 7² × 11¹ × 29¹
LCM(62506,62524) = 1954062572