What is the Least Common Multiple of 384 and 391?
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 391 is 150144.
LCM(384,391) = 150144
Least Common Multiple of 384 and 391 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 391, than apply into the LCM equation.
GCF(384,391) = 1
LCM(384,391) = ( 384 × 391) / 1
LCM(384,391) = 150144 / 1
LCM(384,391) = 150144
Least Common Multiple (LCM) of 384 and 391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 384 and 391. First we will calculate the prime factors of 384 and 391.
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 391
Prime factors of 391 are 17, 23. Prime factorization of 391 in exponential form is:
391 = 171 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 384 and 391.
LCM(384,391) = 27 × 31 × 171 × 231
LCM(384,391) = 150144
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