What is the Least Common Multiple of 43571 and 43575?
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 43571 and 43575 is 1898606325.
LCM(43571,43575) = 1898606325
Least Common Multiple of 43571 and 43575 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43571 and 43575, than apply into the LCM equation.
GCF(43571,43575) = 1
LCM(43571,43575) = ( 43571 × 43575) / 1
LCM(43571,43575) = 1898606325 / 1
LCM(43571,43575) = 1898606325
Least Common Multiple (LCM) of 43571 and 43575 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43571 and 43575. First we will calculate the prime factors of 43571 and 43575.
Prime Factorization of 43571
Prime factors of 43571 are 11, 17, 233. Prime factorization of 43571 in exponential form is:
43571 = 111 × 171 × 2331
Prime Factorization of 43575
Prime factors of 43575 are 3, 5, 7, 83. Prime factorization of 43575 in exponential form is:
43575 = 31 × 52 × 71 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 43571 and 43575.
LCM(43571,43575) = 111 × 171 × 2331 × 31 × 52 × 71 × 831
LCM(43571,43575) = 1898606325
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