What is the Least Common Multiple of 58523 and 58529?

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 58523 and 58529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58523 and 58529, than apply into the LCM equation.

GCF(58523,58529) = 1
LCM(58523,58529) = ( 58523 × 58529) / 1
LCM(58523,58529) = 3425292667 / 1
LCM(58523,58529) = 3425292667

Least Common Multiple (LCM) of 58523 and 58529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58523 and 58529. First we will calculate the prime factors of 58523 and 58529.

Prime Factorization of 58523

Prime Factorization of 58529

Now multiplying the highest exponent prime factors to calculate the LCM of 58523 and 58529.

LCM(58523,58529) = 43¹ × 1361¹ × 107¹ × 547¹
LCM(58523,58529) = 3425292667