What is the Least Common Multiple of 4509 and 4524?

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 4509 and 4524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4509 and 4524, than apply into the LCM equation.

GCF(4509,4524) = 3
LCM(4509,4524) = ( 4509 × 4524) / 3
LCM(4509,4524) = 20398716 / 3
LCM(4509,4524) = 6799572

Least Common Multiple (LCM) of 4509 and 4524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4509 and 4524. First we will calculate the prime factors of 4509 and 4524.

Prime Factorization of 4509

Prime Factorization of 4524

Now multiplying the highest exponent prime factors to calculate the LCM of 4509 and 4524.

LCM(4509,4524) = 3³ × 167¹ × 2² × 13¹ × 29¹
LCM(4509,4524) = 6799572