What is the Least Common Multiple of 56858 and 56865?
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 56858 and 56865 is 3233230170.
LCM(56858,56865) = 3233230170
Least Common Multiple of 56858 and 56865 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56858 and 56865, than apply into the LCM equation.
GCF(56858,56865) = 1
LCM(56858,56865) = ( 56858 × 56865) / 1
LCM(56858,56865) = 3233230170 / 1
LCM(56858,56865) = 3233230170
Least Common Multiple (LCM) of 56858 and 56865 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56858 and 56865. First we will calculate the prime factors of 56858 and 56865.
Prime Factorization of 56858
Prime factors of 56858 are 2, 28429. Prime factorization of 56858 in exponential form is:
56858 = 21 × 284291
Prime Factorization of 56865
Prime factors of 56865 are 3, 5, 17, 223. Prime factorization of 56865 in exponential form is:
56865 = 31 × 51 × 171 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 56858 and 56865.
LCM(56858,56865) = 21 × 284291 × 31 × 51 × 171 × 2231
LCM(56858,56865) = 3233230170
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