What is the Least Common Multiple of 9317 and 9336?
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 9317 and 9336 is 86983512.
LCM(9317,9336) = 86983512
Least Common Multiple of 9317 and 9336 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9317 and 9336, than apply into the LCM equation.
GCF(9317,9336) = 1
LCM(9317,9336) = ( 9317 × 9336) / 1
LCM(9317,9336) = 86983512 / 1
LCM(9317,9336) = 86983512
Least Common Multiple (LCM) of 9317 and 9336 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9317 and 9336. First we will calculate the prime factors of 9317 and 9336.
Prime Factorization of 9317
Prime factors of 9317 are 7, 11. Prime factorization of 9317 in exponential form is:
9317 = 71 × 113
Prime Factorization of 9336
Prime factors of 9336 are 2, 3, 389. Prime factorization of 9336 in exponential form is:
9336 = 23 × 31 × 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 9317 and 9336.
LCM(9317,9336) = 71 × 113 × 23 × 31 × 3891
LCM(9317,9336) = 86983512
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