What is the Least Common Multiple of 14891 and 14896?
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 14891 and 14896 is 221816336.
LCM(14891,14896) = 221816336
Least Common Multiple of 14891 and 14896 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14891 and 14896, than apply into the LCM equation.
GCF(14891,14896) = 1
LCM(14891,14896) = ( 14891 × 14896) / 1
LCM(14891,14896) = 221816336 / 1
LCM(14891,14896) = 221816336
Least Common Multiple (LCM) of 14891 and 14896 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14891 and 14896. First we will calculate the prime factors of 14891 and 14896.
Prime Factorization of 14891
Prime factors of 14891 are 14891. Prime factorization of 14891 in exponential form is:
14891 = 148911
Prime Factorization of 14896
Prime factors of 14896 are 2, 7, 19. Prime factorization of 14896 in exponential form is:
14896 = 24 × 72 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 14891 and 14896.
LCM(14891,14896) = 148911 × 24 × 72 × 191
LCM(14891,14896) = 221816336
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