What is the Least Common Multiple of 94863 and 94882?
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 94863 and 94882 is 9000791166.
LCM(94863,94882) = 9000791166
Least Common Multiple of 94863 and 94882 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94863 and 94882, than apply into the LCM equation.
GCF(94863,94882) = 1
LCM(94863,94882) = ( 94863 × 94882) / 1
LCM(94863,94882) = 9000791166 / 1
LCM(94863,94882) = 9000791166
Least Common Multiple (LCM) of 94863 and 94882 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94863 and 94882. First we will calculate the prime factors of 94863 and 94882.
Prime Factorization of 94863
Prime factors of 94863 are 3, 103, 307. Prime factorization of 94863 in exponential form is:
94863 = 31 × 1031 × 3071
Prime Factorization of 94882
Prime factors of 94882 are 2, 47441. Prime factorization of 94882 in exponential form is:
94882 = 21 × 474411
Now multiplying the highest exponent prime factors to calculate the LCM of 94863 and 94882.
LCM(94863,94882) = 31 × 1031 × 3071 × 21 × 474411
LCM(94863,94882) = 9000791166
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