What is the Least Common Multiple of 18382 and 18389?
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 18382 and 18389 is 48289514.
LCM(18382,18389) = 48289514
Least Common Multiple of 18382 and 18389 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18382 and 18389, than apply into the LCM equation.
GCF(18382,18389) = 7
LCM(18382,18389) = ( 18382 × 18389) / 7
LCM(18382,18389) = 338026598 / 7
LCM(18382,18389) = 48289514
Least Common Multiple (LCM) of 18382 and 18389 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18382 and 18389. First we will calculate the prime factors of 18382 and 18389.
Prime Factorization of 18382
Prime factors of 18382 are 2, 7, 13, 101. Prime factorization of 18382 in exponential form is:
18382 = 21 × 71 × 131 × 1011
Prime Factorization of 18389
Prime factors of 18389 are 7, 37, 71. Prime factorization of 18389 in exponential form is:
18389 = 71 × 371 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 18382 and 18389.
LCM(18382,18389) = 21 × 71 × 131 × 1011 × 371 × 711
LCM(18382,18389) = 48289514
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