What is the Least Common Multiple of 14786 and 14800?
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 14786 and 14800 is 109416400.
LCM(14786,14800) = 109416400
Least Common Multiple of 14786 and 14800 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14786 and 14800, than apply into the LCM equation.
GCF(14786,14800) = 2
LCM(14786,14800) = ( 14786 × 14800) / 2
LCM(14786,14800) = 218832800 / 2
LCM(14786,14800) = 109416400
Least Common Multiple (LCM) of 14786 and 14800 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14786 and 14800. First we will calculate the prime factors of 14786 and 14800.
Prime Factorization of 14786
Prime factors of 14786 are 2, 7393. Prime factorization of 14786 in exponential form is:
14786 = 21 × 73931
Prime Factorization of 14800
Prime factors of 14800 are 2, 5, 37. Prime factorization of 14800 in exponential form is:
14800 = 24 × 52 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 14786 and 14800.
LCM(14786,14800) = 24 × 73931 × 52 × 371
LCM(14786,14800) = 109416400
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