What is the Least Common Multiple of 9903 and 9913?
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 9903 and 9913 is 98168439.
LCM(9903,9913) = 98168439
Least Common Multiple of 9903 and 9913 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9903 and 9913, than apply into the LCM equation.
GCF(9903,9913) = 1
LCM(9903,9913) = ( 9903 × 9913) / 1
LCM(9903,9913) = 98168439 / 1
LCM(9903,9913) = 98168439
Least Common Multiple (LCM) of 9903 and 9913 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9903 and 9913. First we will calculate the prime factors of 9903 and 9913.
Prime Factorization of 9903
Prime factors of 9903 are 3, 3301. Prime factorization of 9903 in exponential form is:
9903 = 31 × 33011
Prime Factorization of 9913
Prime factors of 9913 are 23, 431. Prime factorization of 9913 in exponential form is:
9913 = 231 × 4311
Now multiplying the highest exponent prime factors to calculate the LCM of 9903 and 9913.
LCM(9903,9913) = 31 × 33011 × 231 × 4311
LCM(9903,9913) = 98168439
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