What is the Least Common Multiple of 54078 and 54084?

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 54078 and 54084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54078 and 54084, than apply into the LCM equation.

GCF(54078,54084) = 6
LCM(54078,54084) = ( 54078 × 54084) / 6
LCM(54078,54084) = 2924754552 / 6
LCM(54078,54084) = 487459092

Least Common Multiple (LCM) of 54078 and 54084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54078 and 54084. First we will calculate the prime factors of 54078 and 54084.

Prime Factorization of 54078

Prime Factorization of 54084

Now multiplying the highest exponent prime factors to calculate the LCM of 54078 and 54084.

LCM(54078,54084) = 2² × 3¹ × 9013¹ × 4507¹
LCM(54078,54084) = 487459092