What is the Least Common Multiple of 52523 and 52542?

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 52523 and 52542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52523 and 52542, than apply into the LCM equation.

GCF(52523,52542) = 1
LCM(52523,52542) = ( 52523 × 52542) / 1
LCM(52523,52542) = 2759663466 / 1
LCM(52523,52542) = 2759663466

Least Common Multiple (LCM) of 52523 and 52542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52523 and 52542. First we will calculate the prime factors of 52523 and 52542.

Prime Factorization of 52523

Prime Factorization of 52542

Now multiplying the highest exponent prime factors to calculate the LCM of 52523 and 52542.

LCM(52523,52542) = 53¹ × 991¹ × 2¹ × 3³ × 7¹ × 139¹
LCM(52523,52542) = 2759663466