What is the Least Common Multiple of 14367 and 14378?
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 14367 and 14378 is 206568726.
LCM(14367,14378) = 206568726
Least Common Multiple of 14367 and 14378 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14367 and 14378, than apply into the LCM equation.
GCF(14367,14378) = 1
LCM(14367,14378) = ( 14367 × 14378) / 1
LCM(14367,14378) = 206568726 / 1
LCM(14367,14378) = 206568726
Least Common Multiple (LCM) of 14367 and 14378 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14367 and 14378. First we will calculate the prime factors of 14367 and 14378.
Prime Factorization of 14367
Prime factors of 14367 are 3, 4789. Prime factorization of 14367 in exponential form is:
14367 = 31 × 47891
Prime Factorization of 14378
Prime factors of 14378 are 2, 7, 13, 79. Prime factorization of 14378 in exponential form is:
14378 = 21 × 71 × 131 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 14367 and 14378.
LCM(14367,14378) = 31 × 47891 × 21 × 71 × 131 × 791
LCM(14367,14378) = 206568726
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