What is the Least Common Multiple of 4516 and 4531?

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 4516 and 4531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4516 and 4531, than apply into the LCM equation.

GCF(4516,4531) = 1
LCM(4516,4531) = ( 4516 × 4531) / 1
LCM(4516,4531) = 20461996 / 1
LCM(4516,4531) = 20461996

Least Common Multiple (LCM) of 4516 and 4531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4516 and 4531. First we will calculate the prime factors of 4516 and 4531.

Prime Factorization of 4516

Prime Factorization of 4531

Now multiplying the highest exponent prime factors to calculate the LCM of 4516 and 4531.

LCM(4516,4531) = 2² × 1129¹ × 23¹ × 197¹
LCM(4516,4531) = 20461996