What is the Least Common Multiple of 14888 and 14903?
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 14888 and 14903 is 221875864.
LCM(14888,14903) = 221875864
Least Common Multiple of 14888 and 14903 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14888 and 14903, than apply into the LCM equation.
GCF(14888,14903) = 1
LCM(14888,14903) = ( 14888 × 14903) / 1
LCM(14888,14903) = 221875864 / 1
LCM(14888,14903) = 221875864
Least Common Multiple (LCM) of 14888 and 14903 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14888 and 14903. First we will calculate the prime factors of 14888 and 14903.
Prime Factorization of 14888
Prime factors of 14888 are 2, 1861. Prime factorization of 14888 in exponential form is:
14888 = 23 × 18611
Prime Factorization of 14903
Prime factors of 14903 are 7, 2129. Prime factorization of 14903 in exponential form is:
14903 = 71 × 21291
Now multiplying the highest exponent prime factors to calculate the LCM of 14888 and 14903.
LCM(14888,14903) = 23 × 18611 × 71 × 21291
LCM(14888,14903) = 221875864
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