What is the Least Common Multiple of 3036 and 3056?

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 3036 and 3056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3036 and 3056, than apply into the LCM equation.

GCF(3036,3056) = 4
LCM(3036,3056) = ( 3036 × 3056) / 4
LCM(3036,3056) = 9278016 / 4
LCM(3036,3056) = 2319504

Least Common Multiple (LCM) of 3036 and 3056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3036 and 3056. First we will calculate the prime factors of 3036 and 3056.

Prime Factorization of 3036

Prime Factorization of 3056

Now multiplying the highest exponent prime factors to calculate the LCM of 3036 and 3056.

LCM(3036,3056) = 2⁴ × 3¹ × 11¹ × 23¹ × 191¹
LCM(3036,3056) = 2319504