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What is the Least Common Multiple of 13325 and 13344?

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 13325 and 13344 is 177808800.

LCM(13325,13344) = 177808800

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Least Common Multiple of 13325 and 13344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13325 and 13344, than apply into the LCM equation.

GCF(13325,13344) = 1
LCM(13325,13344) = ( 13325 × 13344) / 1
LCM(13325,13344) = 177808800 / 1
LCM(13325,13344) = 177808800

Least Common Multiple (LCM) of 13325 and 13344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13325 and 13344. First we will calculate the prime factors of 13325 and 13344.

Prime Factorization of 13325

Prime factors of 13325 are 5, 13, 41. Prime factorization of 13325 in exponential form is:

13325 = 52 × 131 × 411

Prime Factorization of 13344

Prime factors of 13344 are 2, 3, 139. Prime factorization of 13344 in exponential form is:

13344 = 25 × 31 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 13325 and 13344.

LCM(13325,13344) = 52 × 131 × 411 × 25 × 31 × 1391
LCM(13325,13344) = 177808800