What is the Least Common Multiple of 9816 and 9823?
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 9816 and 9823 is 96422568.
LCM(9816,9823) = 96422568
Least Common Multiple of 9816 and 9823 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9816 and 9823, than apply into the LCM equation.
GCF(9816,9823) = 1
LCM(9816,9823) = ( 9816 × 9823) / 1
LCM(9816,9823) = 96422568 / 1
LCM(9816,9823) = 96422568
Least Common Multiple (LCM) of 9816 and 9823 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9816 and 9823. First we will calculate the prime factors of 9816 and 9823.
Prime Factorization of 9816
Prime factors of 9816 are 2, 3, 409. Prime factorization of 9816 in exponential form is:
9816 = 23 × 31 × 4091
Prime Factorization of 9823
Prime factors of 9823 are 11, 19, 47. Prime factorization of 9823 in exponential form is:
9823 = 111 × 191 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 9816 and 9823.
LCM(9816,9823) = 23 × 31 × 4091 × 111 × 191 × 471
LCM(9816,9823) = 96422568
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