What is the Least Common Multiple of 38887 and 38894?
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 38887 and 38894 is 1512470978.
LCM(38887,38894) = 1512470978
Least Common Multiple of 38887 and 38894 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38887 and 38894, than apply into the LCM equation.
GCF(38887,38894) = 1
LCM(38887,38894) = ( 38887 × 38894) / 1
LCM(38887,38894) = 1512470978 / 1
LCM(38887,38894) = 1512470978
Least Common Multiple (LCM) of 38887 and 38894 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38887 and 38894. First we will calculate the prime factors of 38887 and 38894.
Prime Factorization of 38887
Prime factors of 38887 are 37, 1051. Prime factorization of 38887 in exponential form is:
38887 = 371 × 10511
Prime Factorization of 38894
Prime factors of 38894 are 2, 19447. Prime factorization of 38894 in exponential form is:
38894 = 21 × 194471
Now multiplying the highest exponent prime factors to calculate the LCM of 38887 and 38894.
LCM(38887,38894) = 371 × 10511 × 21 × 194471
LCM(38887,38894) = 1512470978
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