What is the Least Common Multiple of 9881 and 9897?
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 9881 and 9897 is 97792257.
LCM(9881,9897) = 97792257
Least Common Multiple of 9881 and 9897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9881 and 9897, than apply into the LCM equation.
GCF(9881,9897) = 1
LCM(9881,9897) = ( 9881 × 9897) / 1
LCM(9881,9897) = 97792257 / 1
LCM(9881,9897) = 97792257
Least Common Multiple (LCM) of 9881 and 9897 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9881 and 9897. First we will calculate the prime factors of 9881 and 9897.
Prime Factorization of 9881
Prime factors of 9881 are 41, 241. Prime factorization of 9881 in exponential form is:
9881 = 411 × 2411
Prime Factorization of 9897
Prime factors of 9897 are 3, 3299. Prime factorization of 9897 in exponential form is:
9897 = 31 × 32991
Now multiplying the highest exponent prime factors to calculate the LCM of 9881 and 9897.
LCM(9881,9897) = 411 × 2411 × 31 × 32991
LCM(9881,9897) = 97792257
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