What is the Least Common Multiple of 94287 and 94297?
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 94287 and 94297 is 8890981239.
LCM(94287,94297) = 8890981239
Least Common Multiple of 94287 and 94297 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94287 and 94297, than apply into the LCM equation.
GCF(94287,94297) = 1
LCM(94287,94297) = ( 94287 × 94297) / 1
LCM(94287,94297) = 8890981239 / 1
LCM(94287,94297) = 8890981239
Least Common Multiple (LCM) of 94287 and 94297 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94287 and 94297. First we will calculate the prime factors of 94287 and 94297.
Prime Factorization of 94287
Prime factors of 94287 are 3, 53, 593. Prime factorization of 94287 in exponential form is:
94287 = 31 × 531 × 5931
Prime Factorization of 94297
Prime factors of 94297 are 7, 19, 709. Prime factorization of 94297 in exponential form is:
94297 = 71 × 191 × 7091
Now multiplying the highest exponent prime factors to calculate the LCM of 94287 and 94297.
LCM(94287,94297) = 31 × 531 × 5931 × 71 × 191 × 7091
LCM(94287,94297) = 8890981239
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