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What is the Least Common Multiple of 13075 and 13083?

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 13075 and 13083 is 171060225.

LCM(13075,13083) = 171060225

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Least Common Multiple of 13075 and 13083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13075 and 13083, than apply into the LCM equation.

GCF(13075,13083) = 1
LCM(13075,13083) = ( 13075 × 13083) / 1
LCM(13075,13083) = 171060225 / 1
LCM(13075,13083) = 171060225

Least Common Multiple (LCM) of 13075 and 13083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13075 and 13083. First we will calculate the prime factors of 13075 and 13083.

Prime Factorization of 13075

Prime factors of 13075 are 5, 523. Prime factorization of 13075 in exponential form is:

13075 = 52 × 5231

Prime Factorization of 13083

Prime factors of 13083 are 3, 7, 89. Prime factorization of 13083 in exponential form is:

13083 = 31 × 72 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 13075 and 13083.

LCM(13075,13083) = 52 × 5231 × 31 × 72 × 891
LCM(13075,13083) = 171060225