What is the Least Common Multiple of 9327 and 9334?
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 9327 and 9334 is 87058218.
LCM(9327,9334) = 87058218
Least Common Multiple of 9327 and 9334 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9327 and 9334, than apply into the LCM equation.
GCF(9327,9334) = 1
LCM(9327,9334) = ( 9327 × 9334) / 1
LCM(9327,9334) = 87058218 / 1
LCM(9327,9334) = 87058218
Least Common Multiple (LCM) of 9327 and 9334 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9327 and 9334. First we will calculate the prime factors of 9327 and 9334.
Prime Factorization of 9327
Prime factors of 9327 are 3, 3109. Prime factorization of 9327 in exponential form is:
9327 = 31 × 31091
Prime Factorization of 9334
Prime factors of 9334 are 2, 13, 359. Prime factorization of 9334 in exponential form is:
9334 = 21 × 131 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 9327 and 9334.
LCM(9327,9334) = 31 × 31091 × 21 × 131 × 3591
LCM(9327,9334) = 87058218
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