What is the Least Common Multiple of 14360 and 14367?
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 14360 and 14367 is 206310120.
LCM(14360,14367) = 206310120
Least Common Multiple of 14360 and 14367 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14360 and 14367, than apply into the LCM equation.
GCF(14360,14367) = 1
LCM(14360,14367) = ( 14360 × 14367) / 1
LCM(14360,14367) = 206310120 / 1
LCM(14360,14367) = 206310120
Least Common Multiple (LCM) of 14360 and 14367 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14360 and 14367. First we will calculate the prime factors of 14360 and 14367.
Prime Factorization of 14360
Prime factors of 14360 are 2, 5, 359. Prime factorization of 14360 in exponential form is:
14360 = 23 × 51 × 3591
Prime Factorization of 14367
Prime factors of 14367 are 3, 4789. Prime factorization of 14367 in exponential form is:
14367 = 31 × 47891
Now multiplying the highest exponent prime factors to calculate the LCM of 14360 and 14367.
LCM(14360,14367) = 23 × 51 × 3591 × 31 × 47891
LCM(14360,14367) = 206310120
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