What is the Least Common Multiple of 4548 and 4567?

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 4548 and 4567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4548 and 4567, than apply into the LCM equation.

GCF(4548,4567) = 1
LCM(4548,4567) = ( 4548 × 4567) / 1
LCM(4548,4567) = 20770716 / 1
LCM(4548,4567) = 20770716

Least Common Multiple (LCM) of 4548 and 4567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4548 and 4567. First we will calculate the prime factors of 4548 and 4567.

Prime Factorization of 4548

Prime Factorization of 4567

Now multiplying the highest exponent prime factors to calculate the LCM of 4548 and 4567.

LCM(4548,4567) = 2² × 3¹ × 379¹ × 4567¹
LCM(4548,4567) = 20770716