What is the Least Common Multiple of 58897 and 58903?
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 58897 and 58903 is 3469209991.
LCM(58897,58903) = 3469209991
Least Common Multiple of 58897 and 58903 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58897 and 58903, than apply into the LCM equation.
GCF(58897,58903) = 1
LCM(58897,58903) = ( 58897 × 58903) / 1
LCM(58897,58903) = 3469209991 / 1
LCM(58897,58903) = 3469209991
Least Common Multiple (LCM) of 58897 and 58903 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58897 and 58903. First we will calculate the prime factors of 58897 and 58903.
Prime Factorization of 58897
Prime factors of 58897 are 58897. Prime factorization of 58897 in exponential form is:
58897 = 588971
Prime Factorization of 58903
Prime factors of 58903 are 13, 23, 197. Prime factorization of 58903 in exponential form is:
58903 = 131 × 231 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 58897 and 58903.
LCM(58897,58903) = 588971 × 131 × 231 × 1971
LCM(58897,58903) = 3469209991
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