What is the Least Common Multiple of 3056 and 3069?

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 3056 and 3069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3056 and 3069, than apply into the LCM equation.

GCF(3056,3069) = 1
LCM(3056,3069) = ( 3056 × 3069) / 1
LCM(3056,3069) = 9378864 / 1
LCM(3056,3069) = 9378864

Least Common Multiple (LCM) of 3056 and 3069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3056 and 3069. First we will calculate the prime factors of 3056 and 3069.

Prime Factorization of 3056

Prime Factorization of 3069

Now multiplying the highest exponent prime factors to calculate the LCM of 3056 and 3069.

LCM(3056,3069) = 2⁴ × 191¹ × 3² × 11¹ × 31¹
LCM(3056,3069) = 9378864