What is the Least Common Multiple of 14366 and 14375?
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 14366 and 14375 is 206511250.
LCM(14366,14375) = 206511250
Least Common Multiple of 14366 and 14375 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14366 and 14375, than apply into the LCM equation.
GCF(14366,14375) = 1
LCM(14366,14375) = ( 14366 × 14375) / 1
LCM(14366,14375) = 206511250 / 1
LCM(14366,14375) = 206511250
Least Common Multiple (LCM) of 14366 and 14375 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14366 and 14375. First we will calculate the prime factors of 14366 and 14375.
Prime Factorization of 14366
Prime factors of 14366 are 2, 11, 653. Prime factorization of 14366 in exponential form is:
14366 = 21 × 111 × 6531
Prime Factorization of 14375
Prime factors of 14375 are 5, 23. Prime factorization of 14375 in exponential form is:
14375 = 54 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 14366 and 14375.
LCM(14366,14375) = 21 × 111 × 6531 × 54 × 231
LCM(14366,14375) = 206511250
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