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What is the Least Common Multiple of 13083 and 13102?

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 13083 and 13102 is 171413466.

LCM(13083,13102) = 171413466

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Least Common Multiple of 13083 and 13102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13083 and 13102, than apply into the LCM equation.

GCF(13083,13102) = 1
LCM(13083,13102) = ( 13083 × 13102) / 1
LCM(13083,13102) = 171413466 / 1
LCM(13083,13102) = 171413466

Least Common Multiple (LCM) of 13083 and 13102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13083 and 13102. First we will calculate the prime factors of 13083 and 13102.

Prime Factorization of 13083

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

13083 = 31 × 72 × 891

Prime Factorization of 13102

Prime factors of 13102 are 2, 6551. Prime factorization of 13102 in exponential form is:

13102 = 21 × 65511

Now multiplying the highest exponent prime factors to calculate the LCM of 13083 and 13102.

LCM(13083,13102) = 31 × 72 × 891 × 21 × 65511
LCM(13083,13102) = 171413466