What is the Least Common Multiple of 5484 and 5504?

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 5484 and 5504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5484 and 5504, than apply into the LCM equation.

GCF(5484,5504) = 4
LCM(5484,5504) = ( 5484 × 5504) / 4
LCM(5484,5504) = 30183936 / 4
LCM(5484,5504) = 7545984

Least Common Multiple (LCM) of 5484 and 5504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5484 and 5504. First we will calculate the prime factors of 5484 and 5504.

Prime Factorization of 5484

Prime Factorization of 5504

Now multiplying the highest exponent prime factors to calculate the LCM of 5484 and 5504.

LCM(5484,5504) = 2⁷ × 3¹ × 457¹ × 43¹
LCM(5484,5504) = 7545984