GCF and LCM Calculator Logo

What is the Least Common Multiple of 3288 and 3304?

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 (LCM) of 3288 and 3304 is 1357944.

LCM(3288,3304) = 1357944

LCM Calculator and
and

Least Common Multiple of 3288 and 3304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3288 and 3304, than apply into the LCM equation.

GCF(3288,3304) = 8
LCM(3288,3304) = ( 3288 × 3304) / 8
LCM(3288,3304) = 10863552 / 8
LCM(3288,3304) = 1357944

Least Common Multiple (LCM) of 3288 and 3304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3288 and 3304. First we will calculate the prime factors of 3288 and 3304.

Prime Factorization of 3288

Prime factors of 3288 are 2, 3, 137. Prime factorization of 3288 in exponential form is:

3288 = 23 × 31 × 1371

Prime Factorization of 3304

Prime factors of 3304 are 2, 7, 59. Prime factorization of 3304 in exponential form is:

3304 = 23 × 71 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 3288 and 3304.

LCM(3288,3304) = 23 × 31 × 1371 × 71 × 591
LCM(3288,3304) = 1357944