What is the Least Common Multiple of 5478 and 5484?

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 5478 and 5484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5478 and 5484, than apply into the LCM equation.

GCF(5478,5484) = 6
LCM(5478,5484) = ( 5478 × 5484) / 6
LCM(5478,5484) = 30041352 / 6
LCM(5478,5484) = 5006892

Least Common Multiple (LCM) of 5478 and 5484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5478 and 5484. First we will calculate the prime factors of 5478 and 5484.

Prime Factorization of 5478

Prime Factorization of 5484

Now multiplying the highest exponent prime factors to calculate the LCM of 5478 and 5484.

LCM(5478,5484) = 2² × 3¹ × 11¹ × 83¹ × 457¹
LCM(5478,5484) = 5006892