GCF and LCM Calculator Logo

What is the Least Common Multiple of 13336 and 13350?

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 13336 and 13350 is 89017800.

LCM(13336,13350) = 89017800

LCM Calculator and
and

Least Common Multiple of 13336 and 13350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13336 and 13350, than apply into the LCM equation.

GCF(13336,13350) = 2
LCM(13336,13350) = ( 13336 × 13350) / 2
LCM(13336,13350) = 178035600 / 2
LCM(13336,13350) = 89017800

Least Common Multiple (LCM) of 13336 and 13350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13336 and 13350. First we will calculate the prime factors of 13336 and 13350.

Prime Factorization of 13336

Prime factors of 13336 are 2, 1667. Prime factorization of 13336 in exponential form is:

13336 = 23 × 16671

Prime Factorization of 13350

Prime factors of 13350 are 2, 3, 5, 89. Prime factorization of 13350 in exponential form is:

13350 = 21 × 31 × 52 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 13336 and 13350.

LCM(13336,13350) = 23 × 16671 × 31 × 52 × 891
LCM(13336,13350) = 89017800