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What is the Least Common Multiple of 13302 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 13302 and 13319 is 177169338.

LCM(13302,13319) = 177169338

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Least Common Multiple of 13302 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 13302 and 13319, than apply into the LCM equation.

GCF(13302,13319) = 1
LCM(13302,13319) = ( 13302 × 13319) / 1
LCM(13302,13319) = 177169338 / 1
LCM(13302,13319) = 177169338

Least Common Multiple (LCM) of 13302 and 13319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13302 and 13319. First we will calculate the prime factors of 13302 and 13319.

Prime Factorization of 13302

Prime factors of 13302 are 2, 3, 739. Prime factorization of 13302 in exponential form is:

13302 = 21 × 32 × 7391

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 13302 and 13319.

LCM(13302,13319) = 21 × 32 × 7391 × 191 × 7011
LCM(13302,13319) = 177169338