What is the Least Common Multiple of 14059 and 14063?
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 14059 and 14063 is 197711717.
LCM(14059,14063) = 197711717
Least Common Multiple of 14059 and 14063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14059 and 14063, than apply into the LCM equation.
GCF(14059,14063) = 1
LCM(14059,14063) = ( 14059 × 14063) / 1
LCM(14059,14063) = 197711717 / 1
LCM(14059,14063) = 197711717
Least Common Multiple (LCM) of 14059 and 14063 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14059 and 14063. First we will calculate the prime factors of 14059 and 14063.
Prime Factorization of 14059
Prime factors of 14059 are 17, 827. Prime factorization of 14059 in exponential form is:
14059 = 171 × 8271
Prime Factorization of 14063
Prime factors of 14063 are 7, 41. Prime factorization of 14063 in exponential form is:
14063 = 73 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 14059 and 14063.
LCM(14059,14063) = 171 × 8271 × 73 × 411
LCM(14059,14063) = 197711717
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