What is the Least Common Multiple of 4531 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 4531 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 4531 and 4538, than apply into the LCM equation.

GCF(4531,4538) = 1
LCM(4531,4538) = ( 4531 × 4538) / 1
LCM(4531,4538) = 20561678 / 1
LCM(4531,4538) = 20561678

Least Common Multiple (LCM) of 4531 and 4538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4531 and 4538. First we will calculate the prime factors of 4531 and 4538.

Prime Factorization of 4531

Prime Factorization of 4538

Now multiplying the highest exponent prime factors to calculate the LCM of 4531 and 4538.

LCM(4531,4538) = 23¹ × 197¹ × 2¹ × 2269¹
LCM(4531,4538) = 20561678