What is the Least Common Multiple of 4539 and 4548?

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 4539 and 4548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4539 and 4548, than apply into the LCM equation.

GCF(4539,4548) = 3
LCM(4539,4548) = ( 4539 × 4548) / 3
LCM(4539,4548) = 20643372 / 3
LCM(4539,4548) = 6881124

Least Common Multiple (LCM) of 4539 and 4548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4539 and 4548. First we will calculate the prime factors of 4539 and 4548.

Prime Factorization of 4539

Prime Factorization of 4548

Now multiplying the highest exponent prime factors to calculate the LCM of 4539 and 4548.

LCM(4539,4548) = 3¹ × 17¹ × 89¹ × 2² × 379¹
LCM(4539,4548) = 6881124