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What is the Least Common Multiple of 15471 and 15479?

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 15471 and 15479 is 239475609.

LCM(15471,15479) = 239475609

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Least Common Multiple of 15471 and 15479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15471 and 15479, than apply into the LCM equation.

GCF(15471,15479) = 1
LCM(15471,15479) = ( 15471 × 15479) / 1
LCM(15471,15479) = 239475609 / 1
LCM(15471,15479) = 239475609

Least Common Multiple (LCM) of 15471 and 15479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15471 and 15479. First we will calculate the prime factors of 15471 and 15479.

Prime Factorization of 15471

Prime factors of 15471 are 3, 191. Prime factorization of 15471 in exponential form is:

15471 = 34 × 1911

Prime Factorization of 15479

Prime factors of 15479 are 23, 673. Prime factorization of 15479 in exponential form is:

15479 = 231 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 15471 and 15479.

LCM(15471,15479) = 34 × 1911 × 231 × 6731
LCM(15471,15479) = 239475609