What is the Least Common Multiple of 14374 and 14389?
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 14374 and 14389 is 206827486.
LCM(14374,14389) = 206827486
Least Common Multiple of 14374 and 14389 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14374 and 14389, than apply into the LCM equation.
GCF(14374,14389) = 1
LCM(14374,14389) = ( 14374 × 14389) / 1
LCM(14374,14389) = 206827486 / 1
LCM(14374,14389) = 206827486
Least Common Multiple (LCM) of 14374 and 14389 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14374 and 14389. First we will calculate the prime factors of 14374 and 14389.
Prime Factorization of 14374
Prime factors of 14374 are 2, 7187. Prime factorization of 14374 in exponential form is:
14374 = 21 × 71871
Prime Factorization of 14389
Prime factors of 14389 are 14389. Prime factorization of 14389 in exponential form is:
14389 = 143891
Now multiplying the highest exponent prime factors to calculate the LCM of 14374 and 14389.
LCM(14374,14389) = 21 × 71871 × 143891
LCM(14374,14389) = 206827486
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