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What is the Least Common Multiple of 13443 and 13451?

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 13451 is 180821793.

LCM(13443,13451) = 180821793

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Least Common Multiple of 13443 and 13451 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 13451, than apply into the LCM equation.

GCF(13443,13451) = 1
LCM(13443,13451) = ( 13443 × 13451) / 1
LCM(13443,13451) = 180821793 / 1
LCM(13443,13451) = 180821793

Least Common Multiple (LCM) of 13443 and 13451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13443 and 13451. First we will calculate the prime factors of 13443 and 13451.

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 13451

Prime factors of 13451 are 13451. Prime factorization of 13451 in exponential form is:

13451 = 134511

Now multiplying the highest exponent prime factors to calculate the LCM of 13443 and 13451.

LCM(13443,13451) = 31 × 44811 × 134511
LCM(13443,13451) = 180821793