What is the Least Common Multiple of 54390 and 54408?

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 54390 and 54408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54390 and 54408, than apply into the LCM equation.

GCF(54390,54408) = 6
LCM(54390,54408) = ( 54390 × 54408) / 6
LCM(54390,54408) = 2959251120 / 6
LCM(54390,54408) = 493208520

Least Common Multiple (LCM) of 54390 and 54408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54390 and 54408. First we will calculate the prime factors of 54390 and 54408.

Prime Factorization of 54390

Prime Factorization of 54408

Now multiplying the highest exponent prime factors to calculate the LCM of 54390 and 54408.

LCM(54390,54408) = 2³ × 3¹ × 5¹ × 7² × 37¹ × 2267¹
LCM(54390,54408) = 493208520