What is the Least Common Multiple of 14439 and 14443?
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 14439 and 14443 is 208542477.
LCM(14439,14443) = 208542477
Least Common Multiple of 14439 and 14443 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14439 and 14443, than apply into the LCM equation.
GCF(14439,14443) = 1
LCM(14439,14443) = ( 14439 × 14443) / 1
LCM(14439,14443) = 208542477 / 1
LCM(14439,14443) = 208542477
Least Common Multiple (LCM) of 14439 and 14443 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14439 and 14443. First we will calculate the prime factors of 14439 and 14443.
Prime Factorization of 14439
Prime factors of 14439 are 3, 4813. Prime factorization of 14439 in exponential form is:
14439 = 31 × 48131
Prime Factorization of 14443
Prime factors of 14443 are 11, 13, 101. Prime factorization of 14443 in exponential form is:
14443 = 111 × 131 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 14439 and 14443.
LCM(14439,14443) = 31 × 48131 × 111 × 131 × 1011
LCM(14439,14443) = 208542477
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