What is the Least Common Multiple of 94287 and 94295?
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 94295 is 8890792665.
LCM(94287,94295) = 8890792665
Least Common Multiple of 94287 and 94295 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 94295, than apply into the LCM equation.
GCF(94287,94295) = 1
LCM(94287,94295) = ( 94287 × 94295) / 1
LCM(94287,94295) = 8890792665 / 1
LCM(94287,94295) = 8890792665
Least Common Multiple (LCM) of 94287 and 94295 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94287 and 94295. First we will calculate the prime factors of 94287 and 94295.
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 94295
Prime factors of 94295 are 5, 18859. Prime factorization of 94295 in exponential form is:
94295 = 51 × 188591
Now multiplying the highest exponent prime factors to calculate the LCM of 94287 and 94295.
LCM(94287,94295) = 31 × 531 × 5931 × 51 × 188591
LCM(94287,94295) = 8890792665
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