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What is the Least Common Multiple of 13253 and 13271?

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 13253 and 13271 is 175880563.

LCM(13253,13271) = 175880563

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Least Common Multiple of 13253 and 13271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13253 and 13271, than apply into the LCM equation.

GCF(13253,13271) = 1
LCM(13253,13271) = ( 13253 × 13271) / 1
LCM(13253,13271) = 175880563 / 1
LCM(13253,13271) = 175880563

Least Common Multiple (LCM) of 13253 and 13271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13253 and 13271. First we will calculate the prime factors of 13253 and 13271.

Prime Factorization of 13253

Prime factors of 13253 are 29, 457. Prime factorization of 13253 in exponential form is:

13253 = 291 × 4571

Prime Factorization of 13271

Prime factors of 13271 are 23, 577. Prime factorization of 13271 in exponential form is:

13271 = 231 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 13253 and 13271.

LCM(13253,13271) = 291 × 4571 × 231 × 5771
LCM(13253,13271) = 175880563