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What is the Least Common Multiple of 13322 and 13336?

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 13336 is 88831096.

LCM(13322,13336) = 88831096

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Least Common Multiple of 13322 and 13336 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 13336, than apply into the LCM equation.

GCF(13322,13336) = 2
LCM(13322,13336) = ( 13322 × 13336) / 2
LCM(13322,13336) = 177662192 / 2
LCM(13322,13336) = 88831096

Least Common Multiple (LCM) of 13322 and 13336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13322 and 13336. First we will calculate the prime factors of 13322 and 13336.

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 13336

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

13336 = 23 × 16671

Now multiplying the highest exponent prime factors to calculate the LCM of 13322 and 13336.

LCM(13322,13336) = 23 × 66611 × 16671
LCM(13322,13336) = 88831096