What is the Least Common Multiple of 14483 and 14501?
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 14483 and 14501 is 210017983.
LCM(14483,14501) = 210017983
Least Common Multiple of 14483 and 14501 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14483 and 14501, than apply into the LCM equation.
GCF(14483,14501) = 1
LCM(14483,14501) = ( 14483 × 14501) / 1
LCM(14483,14501) = 210017983 / 1
LCM(14483,14501) = 210017983
Least Common Multiple (LCM) of 14483 and 14501 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14483 and 14501. First we will calculate the prime factors of 14483 and 14501.
Prime Factorization of 14483
Prime factors of 14483 are 7, 2069. Prime factorization of 14483 in exponential form is:
14483 = 71 × 20691
Prime Factorization of 14501
Prime factors of 14501 are 17, 853. Prime factorization of 14501 in exponential form is:
14501 = 171 × 8531
Now multiplying the highest exponent prime factors to calculate the LCM of 14483 and 14501.
LCM(14483,14501) = 71 × 20691 × 171 × 8531
LCM(14483,14501) = 210017983
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