What is the Least Common Multiple of 4485 and 4503?

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 4485 and 4503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4485 and 4503, than apply into the LCM equation.

GCF(4485,4503) = 3
LCM(4485,4503) = ( 4485 × 4503) / 3
LCM(4485,4503) = 20195955 / 3
LCM(4485,4503) = 6731985

Least Common Multiple (LCM) of 4485 and 4503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4485 and 4503. First we will calculate the prime factors of 4485 and 4503.

Prime Factorization of 4485

Prime Factorization of 4503

Now multiplying the highest exponent prime factors to calculate the LCM of 4485 and 4503.

LCM(4485,4503) = 3¹ × 5¹ × 13¹ × 23¹ × 19¹ × 79¹
LCM(4485,4503) = 6731985