What is the Least Common Multiple of 40897 and 40903?
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 40897 and 40903 is 1672809991.
LCM(40897,40903) = 1672809991
Least Common Multiple of 40897 and 40903 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40897 and 40903, than apply into the LCM equation.
GCF(40897,40903) = 1
LCM(40897,40903) = ( 40897 × 40903) / 1
LCM(40897,40903) = 1672809991 / 1
LCM(40897,40903) = 1672809991
Least Common Multiple (LCM) of 40897 and 40903 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40897 and 40903. First we will calculate the prime factors of 40897 and 40903.
Prime Factorization of 40897
Prime factors of 40897 are 40897. Prime factorization of 40897 in exponential form is:
40897 = 408971
Prime Factorization of 40903
Prime factors of 40903 are 40903. Prime factorization of 40903 in exponential form is:
40903 = 409031
Now multiplying the highest exponent prime factors to calculate the LCM of 40897 and 40903.
LCM(40897,40903) = 408971 × 409031
LCM(40897,40903) = 1672809991
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