What is the Least Common Multiple of 9347 and 9366?
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 9347 and 9366 is 87544002.
LCM(9347,9366) = 87544002
Least Common Multiple of 9347 and 9366 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9347 and 9366, than apply into the LCM equation.
GCF(9347,9366) = 1
LCM(9347,9366) = ( 9347 × 9366) / 1
LCM(9347,9366) = 87544002 / 1
LCM(9347,9366) = 87544002
Least Common Multiple (LCM) of 9347 and 9366 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9347 and 9366. First we will calculate the prime factors of 9347 and 9366.
Prime Factorization of 9347
Prime factors of 9347 are 13, 719. Prime factorization of 9347 in exponential form is:
9347 = 131 × 7191
Prime Factorization of 9366
Prime factors of 9366 are 2, 3, 7, 223. Prime factorization of 9366 in exponential form is:
9366 = 21 × 31 × 71 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 9347 and 9366.
LCM(9347,9366) = 131 × 7191 × 21 × 31 × 71 × 2231
LCM(9347,9366) = 87544002
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