What is the Least Common Multiple of 3056 and 3074?

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 3074 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 3074, than apply into the LCM equation.

GCF(3056,3074) = 2
LCM(3056,3074) = ( 3056 × 3074) / 2
LCM(3056,3074) = 9394144 / 2
LCM(3056,3074) = 4697072

Least Common Multiple (LCM) of 3056 and 3074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3056 and 3074. First we will calculate the prime factors of 3056 and 3074.

Prime Factorization of 3056

Prime Factorization of 3074

Now multiplying the highest exponent prime factors to calculate the LCM of 3056 and 3074.

LCM(3056,3074) = 2⁴ × 191¹ × 29¹ × 53¹
LCM(3056,3074) = 4697072