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What is the Least Common Multiple of 13312 and 13319?

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 13312 and 13319 is 177302528.

LCM(13312,13319) = 177302528

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Least Common Multiple of 13312 and 13319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13312 and 13319, than apply into the LCM equation.

GCF(13312,13319) = 1
LCM(13312,13319) = ( 13312 × 13319) / 1
LCM(13312,13319) = 177302528 / 1
LCM(13312,13319) = 177302528

Least Common Multiple (LCM) of 13312 and 13319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13312 and 13319. First we will calculate the prime factors of 13312 and 13319.

Prime Factorization of 13312

Prime factors of 13312 are 2, 13. Prime factorization of 13312 in exponential form is:

13312 = 210 × 131

Prime Factorization of 13319

Prime factors of 13319 are 19, 701. Prime factorization of 13319 in exponential form is:

13319 = 191 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 13312 and 13319.

LCM(13312,13319) = 210 × 131 × 191 × 7011
LCM(13312,13319) = 177302528