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What is the Least Common Multiple of 13443 and 13447?

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 13443 and 13447 is 180768021.

LCM(13443,13447) = 180768021

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Least Common Multiple of 13443 and 13447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13443 and 13447, than apply into the LCM equation.

GCF(13443,13447) = 1
LCM(13443,13447) = ( 13443 × 13447) / 1
LCM(13443,13447) = 180768021 / 1
LCM(13443,13447) = 180768021

Least Common Multiple (LCM) of 13443 and 13447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13443 and 13447. First we will calculate the prime factors of 13443 and 13447.

Prime Factorization of 13443

Prime factors of 13443 are 3, 4481. Prime factorization of 13443 in exponential form is:

13443 = 31 × 44811

Prime Factorization of 13447

Prime factors of 13447 are 7, 17, 113. Prime factorization of 13447 in exponential form is:

13447 = 71 × 171 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 13443 and 13447.

LCM(13443,13447) = 31 × 44811 × 71 × 171 × 1131
LCM(13443,13447) = 180768021