What is the Least Common Multiple of 3344 and 3358?

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 3358 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 3358, than apply into the LCM equation.

GCF(3344,3358) = 2
LCM(3344,3358) = ( 3344 × 3358) / 2
LCM(3344,3358) = 11229152 / 2
LCM(3344,3358) = 5614576

Least Common Multiple (LCM) of 3344 and 3358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3344 and 3358. First we will calculate the prime factors of 3344 and 3358.

Prime Factorization of 3344

Prime Factorization of 3358

Now multiplying the highest exponent prime factors to calculate the LCM of 3344 and 3358.

LCM(3344,3358) = 2⁴ × 11¹ × 19¹ × 23¹ × 73¹
LCM(3344,3358) = 5614576