What is the Least Common Multiple of 52507 and 52511?

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 52507 and 52511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52507 and 52511, than apply into the LCM equation.

GCF(52507,52511) = 1
LCM(52507,52511) = ( 52507 × 52511) / 1
LCM(52507,52511) = 2757195077 / 1
LCM(52507,52511) = 2757195077

Least Common Multiple (LCM) of 52507 and 52511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52507 and 52511. First we will calculate the prime factors of 52507 and 52511.

Prime Factorization of 52507

Prime Factorization of 52511

Now multiplying the highest exponent prime factors to calculate the LCM of 52507 and 52511.

LCM(52507,52511) = 7¹ × 13¹ × 577¹ × 52511¹
LCM(52507,52511) = 2757195077