What is the Least Common Multiple of 11443 and 11447?
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 11443 and 11447 is 130988021.
LCM(11443,11447) = 130988021
Least Common Multiple of 11443 and 11447 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11443 and 11447, than apply into the LCM equation.
GCF(11443,11447) = 1
LCM(11443,11447) = ( 11443 × 11447) / 1
LCM(11443,11447) = 130988021 / 1
LCM(11443,11447) = 130988021
Least Common Multiple (LCM) of 11443 and 11447 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11443 and 11447. First we will calculate the prime factors of 11443 and 11447.
Prime Factorization of 11443
Prime factors of 11443 are 11443. Prime factorization of 11443 in exponential form is:
11443 = 114431
Prime Factorization of 11447
Prime factors of 11447 are 11447. Prime factorization of 11447 in exponential form is:
11447 = 114471
Now multiplying the highest exponent prime factors to calculate the LCM of 11443 and 11447.
LCM(11443,11447) = 114431 × 114471
LCM(11443,11447) = 130988021
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