GCF and LCM Calculator Logo

What is the Least Common Multiple of 13323 and 13332?

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 13323 and 13332 is 59207412.

LCM(13323,13332) = 59207412

LCM Calculator and
and

Least Common Multiple of 13323 and 13332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13323 and 13332, than apply into the LCM equation.

GCF(13323,13332) = 3
LCM(13323,13332) = ( 13323 × 13332) / 3
LCM(13323,13332) = 177622236 / 3
LCM(13323,13332) = 59207412

Least Common Multiple (LCM) of 13323 and 13332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13323 and 13332. First we will calculate the prime factors of 13323 and 13332.

Prime Factorization of 13323

Prime factors of 13323 are 3, 4441. Prime factorization of 13323 in exponential form is:

13323 = 31 × 44411

Prime Factorization of 13332

Prime factors of 13332 are 2, 3, 11, 101. Prime factorization of 13332 in exponential form is:

13332 = 22 × 31 × 111 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 13323 and 13332.

LCM(13323,13332) = 31 × 44411 × 22 × 111 × 1011
LCM(13323,13332) = 59207412