What is the Least Common Multiple of 384 and 389?
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 384 and 389 is 149376.
LCM(384,389) = 149376
Least Common Multiple of 384 and 389 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 384 and 389, than apply into the LCM equation.
GCF(384,389) = 1
LCM(384,389) = ( 384 × 389) / 1
LCM(384,389) = 149376 / 1
LCM(384,389) = 149376
Least Common Multiple (LCM) of 384 and 389 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 384 and 389. First we will calculate the prime factors of 384 and 389.
Prime Factorization of 384
Prime factors of 384 are 2, 3. Prime factorization of 384 in exponential form is:
384 = 27 × 31
Prime Factorization of 389
Prime factors of 389 are 389. Prime factorization of 389 in exponential form is:
389 = 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 384 and 389.
LCM(384,389) = 27 × 31 × 3891
LCM(384,389) = 149376
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