What is the Least Common Multiple of 3324 and 3344?

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 3324 and 3344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3324 and 3344, than apply into the LCM equation.

GCF(3324,3344) = 4
LCM(3324,3344) = ( 3324 × 3344) / 4
LCM(3324,3344) = 11115456 / 4
LCM(3324,3344) = 2778864

Least Common Multiple (LCM) of 3324 and 3344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3324 and 3344. First we will calculate the prime factors of 3324 and 3344.

Prime Factorization of 3324

Prime Factorization of 3344

Now multiplying the highest exponent prime factors to calculate the LCM of 3324 and 3344.

LCM(3324,3344) = 2⁴ × 3¹ × 277¹ × 11¹ × 19¹
LCM(3324,3344) = 2778864