What is the Least Common Multiple of 54408 and 54423?

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 54408 and 54423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54408 and 54423, than apply into the LCM equation.

GCF(54408,54423) = 3
LCM(54408,54423) = ( 54408 × 54423) / 3
LCM(54408,54423) = 2961046584 / 3
LCM(54408,54423) = 987015528

Least Common Multiple (LCM) of 54408 and 54423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54408 and 54423. First we will calculate the prime factors of 54408 and 54423.

Prime Factorization of 54408

Prime Factorization of 54423

Now multiplying the highest exponent prime factors to calculate the LCM of 54408 and 54423.

LCM(54408,54423) = 2³ × 3² × 2267¹ × 6047¹
LCM(54408,54423) = 987015528