What is the Least Common Multiple of 62575 and 62590?

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 62575 and 62590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62575 and 62590, than apply into the LCM equation.

GCF(62575,62590) = 5
LCM(62575,62590) = ( 62575 × 62590) / 5
LCM(62575,62590) = 3916569250 / 5
LCM(62575,62590) = 783313850

Least Common Multiple (LCM) of 62575 and 62590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62575 and 62590. First we will calculate the prime factors of 62575 and 62590.

Prime Factorization of 62575

Prime Factorization of 62590

Now multiplying the highest exponent prime factors to calculate the LCM of 62575 and 62590.

LCM(62575,62590) = 5² × 2503¹ × 2¹ × 11¹ × 569¹
LCM(62575,62590) = 783313850