What is the Least Common Multiple of 18523 and 18531?

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 18523 and 18531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18523 and 18531, than apply into the LCM equation.

GCF(18523,18531) = 1
LCM(18523,18531) = ( 18523 × 18531) / 1
LCM(18523,18531) = 343249713 / 1
LCM(18523,18531) = 343249713

Least Common Multiple (LCM) of 18523 and 18531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18523 and 18531. First we will calculate the prime factors of 18523 and 18531.

Prime Factorization of 18523

Prime Factorization of 18531

Now multiplying the highest exponent prime factors to calculate the LCM of 18523 and 18531.

LCM(18523,18531) = 18523¹ × 3² × 29¹ × 71¹
LCM(18523,18531) = 343249713