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What is the Least Common Multiple of 13417 and 13432?

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 13417 and 13432 is 180217144.

LCM(13417,13432) = 180217144

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Least Common Multiple of 13417 and 13432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13417 and 13432, than apply into the LCM equation.

GCF(13417,13432) = 1
LCM(13417,13432) = ( 13417 × 13432) / 1
LCM(13417,13432) = 180217144 / 1
LCM(13417,13432) = 180217144

Least Common Multiple (LCM) of 13417 and 13432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13417 and 13432. First we will calculate the prime factors of 13417 and 13432.

Prime Factorization of 13417

Prime factors of 13417 are 13417. Prime factorization of 13417 in exponential form is:

13417 = 134171

Prime Factorization of 13432

Prime factors of 13432 are 2, 23, 73. Prime factorization of 13432 in exponential form is:

13432 = 23 × 231 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 13417 and 13432.

LCM(13417,13432) = 134171 × 23 × 231 × 731
LCM(13417,13432) = 180217144