GCF and LCM Calculator Logo

What is the Least Common Multiple of 13322 and 13328?

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 13322 and 13328 is 88777808.

LCM(13322,13328) = 88777808

LCM Calculator and
and

Least Common Multiple of 13322 and 13328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13322 and 13328, than apply into the LCM equation.

GCF(13322,13328) = 2
LCM(13322,13328) = ( 13322 × 13328) / 2
LCM(13322,13328) = 177555616 / 2
LCM(13322,13328) = 88777808

Least Common Multiple (LCM) of 13322 and 13328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13322 and 13328. First we will calculate the prime factors of 13322 and 13328.

Prime Factorization of 13322

Prime factors of 13322 are 2, 6661. Prime factorization of 13322 in exponential form is:

13322 = 21 × 66611

Prime Factorization of 13328

Prime factors of 13328 are 2, 7, 17. Prime factorization of 13328 in exponential form is:

13328 = 24 × 72 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 13322 and 13328.

LCM(13322,13328) = 24 × 66611 × 72 × 171
LCM(13322,13328) = 88777808