What is the Least Common Multiple of 3054 and 3072?

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 3054 and 3072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3054 and 3072, than apply into the LCM equation.

GCF(3054,3072) = 6
LCM(3054,3072) = ( 3054 × 3072) / 6
LCM(3054,3072) = 9381888 / 6
LCM(3054,3072) = 1563648

Least Common Multiple (LCM) of 3054 and 3072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3054 and 3072. First we will calculate the prime factors of 3054 and 3072.

Prime Factorization of 3054

Prime Factorization of 3072

Now multiplying the highest exponent prime factors to calculate the LCM of 3054 and 3072.

LCM(3054,3072) = 2¹⁰ × 3¹ × 509¹
LCM(3054,3072) = 1563648