What is the Least Common Multiple of 94853 and 94871?
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 94853 and 94871 is 8998798963.
LCM(94853,94871) = 8998798963
Least Common Multiple of 94853 and 94871 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94853 and 94871, than apply into the LCM equation.
GCF(94853,94871) = 1
LCM(94853,94871) = ( 94853 × 94871) / 1
LCM(94853,94871) = 8998798963 / 1
LCM(94853,94871) = 8998798963
Least Common Multiple (LCM) of 94853 and 94871 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94853 and 94871. First we will calculate the prime factors of 94853 and 94871.
Prime Factorization of 94853
Prime factors of 94853 are 11, 8623. Prime factorization of 94853 in exponential form is:
94853 = 111 × 86231
Prime Factorization of 94871
Prime factors of 94871 are 7, 13553. Prime factorization of 94871 in exponential form is:
94871 = 71 × 135531
Now multiplying the highest exponent prime factors to calculate the LCM of 94853 and 94871.
LCM(94853,94871) = 111 × 86231 × 71 × 135531
LCM(94853,94871) = 8998798963
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