What is the Least Common Multiple of 52506 and 52523?

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 52506 and 52523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52506 and 52523, than apply into the LCM equation.

GCF(52506,52523) = 1
LCM(52506,52523) = ( 52506 × 52523) / 1
LCM(52506,52523) = 2757772638 / 1
LCM(52506,52523) = 2757772638

Least Common Multiple (LCM) of 52506 and 52523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52506 and 52523. First we will calculate the prime factors of 52506 and 52523.

Prime Factorization of 52506

Prime Factorization of 52523

Now multiplying the highest exponent prime factors to calculate the LCM of 52506 and 52523.

LCM(52506,52523) = 2¹ × 3² × 2917¹ × 53¹ × 991¹
LCM(52506,52523) = 2757772638