What is the Least Common Multiple of 3344 and 3348?

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 3344 and 3348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3344 and 3348, than apply into the LCM equation.

GCF(3344,3348) = 4
LCM(3344,3348) = ( 3344 × 3348) / 4
LCM(3344,3348) = 11195712 / 4
LCM(3344,3348) = 2798928

Least Common Multiple (LCM) of 3344 and 3348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3344 and 3348. First we will calculate the prime factors of 3344 and 3348.

Prime Factorization of 3344

Prime Factorization of 3348

Now multiplying the highest exponent prime factors to calculate the LCM of 3344 and 3348.

LCM(3344,3348) = 2⁴ × 11¹ × 19¹ × 3³ × 31¹
LCM(3344,3348) = 2798928