What is the Least Common Multiple of 4524 and 4539?

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 4539 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 4539, than apply into the LCM equation.

GCF(4524,4539) = 3
LCM(4524,4539) = ( 4524 × 4539) / 3
LCM(4524,4539) = 20534436 / 3
LCM(4524,4539) = 6844812

Least Common Multiple (LCM) of 4524 and 4539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4524 and 4539. First we will calculate the prime factors of 4524 and 4539.

Prime Factorization of 4524

Prime Factorization of 4539

Now multiplying the highest exponent prime factors to calculate the LCM of 4524 and 4539.

LCM(4524,4539) = 2² × 3¹ × 13¹ × 29¹ × 17¹ × 89¹
LCM(4524,4539) = 6844812