What is the Least Common Multiple of 94297 and 94303?
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 94297 and 94303 is 8892489991.
LCM(94297,94303) = 8892489991
Least Common Multiple of 94297 and 94303 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94297 and 94303, than apply into the LCM equation.
GCF(94297,94303) = 1
LCM(94297,94303) = ( 94297 × 94303) / 1
LCM(94297,94303) = 8892489991 / 1
LCM(94297,94303) = 8892489991
Least Common Multiple (LCM) of 94297 and 94303 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94297 and 94303. First we will calculate the prime factors of 94297 and 94303.
Prime Factorization of 94297
Prime factors of 94297 are 7, 19, 709. Prime factorization of 94297 in exponential form is:
94297 = 71 × 191 × 7091
Prime Factorization of 94303
Prime factors of 94303 are 11, 8573. Prime factorization of 94303 in exponential form is:
94303 = 111 × 85731
Now multiplying the highest exponent prime factors to calculate the LCM of 94297 and 94303.
LCM(94297,94303) = 71 × 191 × 7091 × 111 × 85731
LCM(94297,94303) = 8892489991
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