What is the Least Common Multiple of 9891 and 9895?
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 9895 is 97871445.
LCM(9891,9895) = 97871445
Least Common Multiple of 9891 and 9895 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 9895, than apply into the LCM equation.
GCF(9891,9895) = 1
LCM(9891,9895) = ( 9891 × 9895) / 1
LCM(9891,9895) = 97871445 / 1
LCM(9891,9895) = 97871445
Least Common Multiple (LCM) of 9891 and 9895 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9891 and 9895. First we will calculate the prime factors of 9891 and 9895.
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 9895
Prime factors of 9895 are 5, 1979. Prime factorization of 9895 in exponential form is:
9895 = 51 × 19791
Now multiplying the highest exponent prime factors to calculate the LCM of 9891 and 9895.
LCM(9891,9895) = 32 × 71 × 1571 × 51 × 19791
LCM(9891,9895) = 97871445
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