What is the Least Common Multiple of 3072 and 3078?

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 3072 and 3078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3072 and 3078, than apply into the LCM equation.

GCF(3072,3078) = 6
LCM(3072,3078) = ( 3072 × 3078) / 6
LCM(3072,3078) = 9455616 / 6
LCM(3072,3078) = 1575936

Least Common Multiple (LCM) of 3072 and 3078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3072 and 3078. First we will calculate the prime factors of 3072 and 3078.

Prime Factorization of 3072

Prime Factorization of 3078

Now multiplying the highest exponent prime factors to calculate the LCM of 3072 and 3078.

LCM(3072,3078) = 2¹⁰ × 3⁴ × 19¹
LCM(3072,3078) = 1575936