What is the Least Common Multiple of 4523 and 4538?

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 4523 and 4538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4523 and 4538, than apply into the LCM equation.

GCF(4523,4538) = 1
LCM(4523,4538) = ( 4523 × 4538) / 1
LCM(4523,4538) = 20525374 / 1
LCM(4523,4538) = 20525374

Least Common Multiple (LCM) of 4523 and 4538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4523 and 4538. First we will calculate the prime factors of 4523 and 4538.

Prime Factorization of 4523

Prime Factorization of 4538

Now multiplying the highest exponent prime factors to calculate the LCM of 4523 and 4538.

LCM(4523,4538) = 4523¹ × 2¹ × 2269¹
LCM(4523,4538) = 20525374