What is the Least Common Multiple of 9366 and 9371?
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 9366 and 9371 is 87768786.
LCM(9366,9371) = 87768786
Least Common Multiple of 9366 and 9371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9366 and 9371, than apply into the LCM equation.
GCF(9366,9371) = 1
LCM(9366,9371) = ( 9366 × 9371) / 1
LCM(9366,9371) = 87768786 / 1
LCM(9366,9371) = 87768786
Least Common Multiple (LCM) of 9366 and 9371 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9366 and 9371. First we will calculate the prime factors of 9366 and 9371.
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
Prime Factorization of 9371
Prime factors of 9371 are 9371. Prime factorization of 9371 in exponential form is:
9371 = 93711
Now multiplying the highest exponent prime factors to calculate the LCM of 9366 and 9371.
LCM(9366,9371) = 21 × 31 × 71 × 2231 × 93711
LCM(9366,9371) = 87768786
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