What is the Least Common Multiple of 9877 and 9881?
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 9877 and 9881 is 97594637.
LCM(9877,9881) = 97594637
Least Common Multiple of 9877 and 9881 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9877 and 9881, than apply into the LCM equation.
GCF(9877,9881) = 1
LCM(9877,9881) = ( 9877 × 9881) / 1
LCM(9877,9881) = 97594637 / 1
LCM(9877,9881) = 97594637
Least Common Multiple (LCM) of 9877 and 9881 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9877 and 9881. First we will calculate the prime factors of 9877 and 9881.
Prime Factorization of 9877
Prime factors of 9877 are 7, 17, 83. Prime factorization of 9877 in exponential form is:
9877 = 71 × 171 × 831
Prime Factorization of 9881
Prime factors of 9881 are 41, 241. Prime factorization of 9881 in exponential form is:
9881 = 411 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 9877 and 9881.
LCM(9877,9881) = 71 × 171 × 831 × 411 × 2411
LCM(9877,9881) = 97594637
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