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What is the Least Common Multiple of 13053 and 13071?

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 13053 and 13071 is 56871921.

LCM(13053,13071) = 56871921

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Least Common Multiple of 13053 and 13071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13053 and 13071, than apply into the LCM equation.

GCF(13053,13071) = 3
LCM(13053,13071) = ( 13053 × 13071) / 3
LCM(13053,13071) = 170615763 / 3
LCM(13053,13071) = 56871921

Least Common Multiple (LCM) of 13053 and 13071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13053 and 13071. First we will calculate the prime factors of 13053 and 13071.

Prime Factorization of 13053

Prime factors of 13053 are 3, 19, 229. Prime factorization of 13053 in exponential form is:

13053 = 31 × 191 × 2291

Prime Factorization of 13071

Prime factors of 13071 are 3, 4357. Prime factorization of 13071 in exponential form is:

13071 = 31 × 43571

Now multiplying the highest exponent prime factors to calculate the LCM of 13053 and 13071.

LCM(13053,13071) = 31 × 191 × 2291 × 43571
LCM(13053,13071) = 56871921