What is the Least Common Multiple of 3078 and 3096?

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 3078 and 3096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3078 and 3096, than apply into the LCM equation.

GCF(3078,3096) = 18
LCM(3078,3096) = ( 3078 × 3096) / 18
LCM(3078,3096) = 9529488 / 18
LCM(3078,3096) = 529416

Least Common Multiple (LCM) of 3078 and 3096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3078 and 3096. First we will calculate the prime factors of 3078 and 3096.

Prime Factorization of 3078

Prime Factorization of 3096

Now multiplying the highest exponent prime factors to calculate the LCM of 3078 and 3096.

LCM(3078,3096) = 2³ × 3⁴ × 19¹ × 43¹
LCM(3078,3096) = 529416