What is the Least Common Multiple of 4524 and 4543?

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 4524 and 4543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4524 and 4543, than apply into the LCM equation.

GCF(4524,4543) = 1
LCM(4524,4543) = ( 4524 × 4543) / 1
LCM(4524,4543) = 20552532 / 1
LCM(4524,4543) = 20552532

Least Common Multiple (LCM) of 4524 and 4543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4524 and 4543. First we will calculate the prime factors of 4524 and 4543.

Prime Factorization of 4524

Prime Factorization of 4543

Now multiplying the highest exponent prime factors to calculate the LCM of 4524 and 4543.

LCM(4524,4543) = 2² × 3¹ × 13¹ × 29¹ × 7¹ × 11¹ × 59¹
LCM(4524,4543) = 20552532