What is the Least Common Multiple of 4543 and 4563?

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 4543 and 4563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4543 and 4563, than apply into the LCM equation.

GCF(4543,4563) = 1
LCM(4543,4563) = ( 4543 × 4563) / 1
LCM(4543,4563) = 20729709 / 1
LCM(4543,4563) = 20729709

Least Common Multiple (LCM) of 4543 and 4563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4543 and 4563. First we will calculate the prime factors of 4543 and 4563.

Prime Factorization of 4543

Prime Factorization of 4563

Now multiplying the highest exponent prime factors to calculate the LCM of 4543 and 4563.

LCM(4543,4563) = 7¹ × 11¹ × 59¹ × 3³ × 13²
LCM(4543,4563) = 20729709