What is the Least Common Multiple of 3328 and 3346?

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 3328 and 3346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3328 and 3346, than apply into the LCM equation.

GCF(3328,3346) = 2
LCM(3328,3346) = ( 3328 × 3346) / 2
LCM(3328,3346) = 11135488 / 2
LCM(3328,3346) = 5567744

Least Common Multiple (LCM) of 3328 and 3346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3328 and 3346. First we will calculate the prime factors of 3328 and 3346.

Prime Factorization of 3328

Prime Factorization of 3346

Now multiplying the highest exponent prime factors to calculate the LCM of 3328 and 3346.

LCM(3328,3346) = 2⁸ × 13¹ × 7¹ × 239¹
LCM(3328,3346) = 5567744