What is the Least Common Multiple of 4509 and 4520?

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 4520 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 4520, than apply into the LCM equation.

GCF(4509,4520) = 1
LCM(4509,4520) = ( 4509 × 4520) / 1
LCM(4509,4520) = 20380680 / 1
LCM(4509,4520) = 20380680

Least Common Multiple (LCM) of 4509 and 4520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4509 and 4520. First we will calculate the prime factors of 4509 and 4520.

Prime Factorization of 4509

Prime Factorization of 4520

Now multiplying the highest exponent prime factors to calculate the LCM of 4509 and 4520.

LCM(4509,4520) = 3³ × 167¹ × 2³ × 5¹ × 113¹
LCM(4509,4520) = 20380680