What is the Least Common Multiple of 8523 and 8538?

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 8523 and 8538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8523 and 8538, than apply into the LCM equation.

GCF(8523,8538) = 3
LCM(8523,8538) = ( 8523 × 8538) / 3
LCM(8523,8538) = 72769374 / 3
LCM(8523,8538) = 24256458

Least Common Multiple (LCM) of 8523 and 8538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8523 and 8538. First we will calculate the prime factors of 8523 and 8538.

Prime Factorization of 8523

Prime Factorization of 8538

Now multiplying the highest exponent prime factors to calculate the LCM of 8523 and 8538.

LCM(8523,8538) = 3² × 947¹ × 2¹ × 1423¹
LCM(8523,8538) = 24256458