What is the Least Common Multiple of 94838 and 94857?
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 94838 and 94857 is 8996048166.
LCM(94838,94857) = 8996048166
Least Common Multiple of 94838 and 94857 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94838 and 94857, than apply into the LCM equation.
GCF(94838,94857) = 1
LCM(94838,94857) = ( 94838 × 94857) / 1
LCM(94838,94857) = 8996048166 / 1
LCM(94838,94857) = 8996048166
Least Common Multiple (LCM) of 94838 and 94857 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94838 and 94857. First we will calculate the prime factors of 94838 and 94857.
Prime Factorization of 94838
Prime factors of 94838 are 2, 47419. Prime factorization of 94838 in exponential form is:
94838 = 21 × 474191
Prime Factorization of 94857
Prime factors of 94857 are 3, 7, 4517. Prime factorization of 94857 in exponential form is:
94857 = 31 × 71 × 45171
Now multiplying the highest exponent prime factors to calculate the LCM of 94838 and 94857.
LCM(94838,94857) = 21 × 474191 × 31 × 71 × 45171
LCM(94838,94857) = 8996048166
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