What is the Least Common Multiple of 9878 and 9891?
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 9878 and 9891 is 97703298.
LCM(9878,9891) = 97703298
Least Common Multiple of 9878 and 9891 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9878 and 9891, than apply into the LCM equation.
GCF(9878,9891) = 1
LCM(9878,9891) = ( 9878 × 9891) / 1
LCM(9878,9891) = 97703298 / 1
LCM(9878,9891) = 97703298
Least Common Multiple (LCM) of 9878 and 9891 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9878 and 9891. First we will calculate the prime factors of 9878 and 9891.
Prime Factorization of 9878
Prime factors of 9878 are 2, 11, 449. Prime factorization of 9878 in exponential form is:
9878 = 21 × 111 × 4491
Prime Factorization of 9891
Prime factors of 9891 are 3, 7, 157. Prime factorization of 9891 in exponential form is:
9891 = 32 × 71 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 9878 and 9891.
LCM(9878,9891) = 21 × 111 × 4491 × 32 × 71 × 1571
LCM(9878,9891) = 97703298
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