What is the Least Common Multiple of 9891 and 9907?
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 9891 and 9907 is 97990137.
LCM(9891,9907) = 97990137
Least Common Multiple of 9891 and 9907 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9891 and 9907, than apply into the LCM equation.
GCF(9891,9907) = 1
LCM(9891,9907) = ( 9891 × 9907) / 1
LCM(9891,9907) = 97990137 / 1
LCM(9891,9907) = 97990137
Least Common Multiple (LCM) of 9891 and 9907 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9891 and 9907. First we will calculate the prime factors of 9891 and 9907.
Prime Factorization of 9891
Prime factors of 9891 are 3, 7, 157. Prime factorization of 9891 in exponential form is:
9891 = 32 × 71 × 1571
Prime Factorization of 9907
Prime factors of 9907 are 9907. Prime factorization of 9907 in exponential form is:
9907 = 99071
Now multiplying the highest exponent prime factors to calculate the LCM of 9891 and 9907.
LCM(9891,9907) = 32 × 71 × 1571 × 99071
LCM(9891,9907) = 97990137
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