What is the Least Common Multiple of 14363 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 14363 and 14372 is 206425036.
LCM(14363,14372) = 206425036
Least Common Multiple of 14363 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 14363 and 14372, than apply into the LCM equation.
GCF(14363,14372) = 1
LCM(14363,14372) = ( 14363 × 14372) / 1
LCM(14363,14372) = 206425036 / 1
LCM(14363,14372) = 206425036
Least Common Multiple (LCM) of 14363 and 14372 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14363 and 14372. First we will calculate the prime factors of 14363 and 14372.
Prime Factorization of 14363
Prime factors of 14363 are 53, 271. Prime factorization of 14363 in exponential form is:
14363 = 531 × 2711
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 14363 and 14372.
LCM(14363,14372) = 531 × 2711 × 22 × 35931
LCM(14363,14372) = 206425036
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