What is the Least Common Multiple of 52524 and 52529?

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 52524 and 52529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52524 and 52529, than apply into the LCM equation.

GCF(52524,52529) = 1
LCM(52524,52529) = ( 52524 × 52529) / 1
LCM(52524,52529) = 2759033196 / 1
LCM(52524,52529) = 2759033196

Least Common Multiple (LCM) of 52524 and 52529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52524 and 52529. First we will calculate the prime factors of 52524 and 52529.

Prime Factorization of 52524

Prime Factorization of 52529

Now multiplying the highest exponent prime factors to calculate the LCM of 52524 and 52529.

LCM(52524,52529) = 2² × 3² × 1459¹ × 52529¹
LCM(52524,52529) = 2759033196