What is the Least Common Multiple of 14139 and 14143?
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 14139 and 14143 is 199967877.
LCM(14139,14143) = 199967877
Least Common Multiple of 14139 and 14143 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14139 and 14143, than apply into the LCM equation.
GCF(14139,14143) = 1
LCM(14139,14143) = ( 14139 × 14143) / 1
LCM(14139,14143) = 199967877 / 1
LCM(14139,14143) = 199967877
Least Common Multiple (LCM) of 14139 and 14143 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14139 and 14143. First we will calculate the prime factors of 14139 and 14143.
Prime Factorization of 14139
Prime factors of 14139 are 3, 1571. Prime factorization of 14139 in exponential form is:
14139 = 32 × 15711
Prime Factorization of 14143
Prime factors of 14143 are 14143. Prime factorization of 14143 in exponential form is:
14143 = 141431
Now multiplying the highest exponent prime factors to calculate the LCM of 14139 and 14143.
LCM(14139,14143) = 32 × 15711 × 141431
LCM(14139,14143) = 199967877
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