What is the Least Common Multiple of 14366 and 14372?
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 14372 is 103234076.
LCM(14366,14372) = 103234076
Least Common Multiple of 14366 and 14372 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 14372, than apply into the LCM equation.
GCF(14366,14372) = 2
LCM(14366,14372) = ( 14366 × 14372) / 2
LCM(14366,14372) = 206468152 / 2
LCM(14366,14372) = 103234076
Least Common Multiple (LCM) of 14366 and 14372 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14366 and 14372. First we will calculate the prime factors of 14366 and 14372.
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 14372
Prime factors of 14372 are 2, 3593. Prime factorization of 14372 in exponential form is:
14372 = 22 × 35931
Now multiplying the highest exponent prime factors to calculate the LCM of 14366 and 14372.
LCM(14366,14372) = 22 × 111 × 6531 × 35931
LCM(14366,14372) = 103234076
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