What is the Least Common Multiple of 4484 and 4501?

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 4484 and 4501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4484 and 4501, than apply into the LCM equation.

GCF(4484,4501) = 1
LCM(4484,4501) = ( 4484 × 4501) / 1
LCM(4484,4501) = 20182484 / 1
LCM(4484,4501) = 20182484

Least Common Multiple (LCM) of 4484 and 4501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4484 and 4501. First we will calculate the prime factors of 4484 and 4501.

Prime Factorization of 4484

Prime Factorization of 4501

Now multiplying the highest exponent prime factors to calculate the LCM of 4484 and 4501.

LCM(4484,4501) = 2² × 19¹ × 59¹ × 7¹ × 643¹
LCM(4484,4501) = 20182484