What is the Least Common Multiple of 9326 and 9331?
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 9326 and 9331 is 87020906.
LCM(9326,9331) = 87020906
Least Common Multiple of 9326 and 9331 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9326 and 9331, than apply into the LCM equation.
GCF(9326,9331) = 1
LCM(9326,9331) = ( 9326 × 9331) / 1
LCM(9326,9331) = 87020906 / 1
LCM(9326,9331) = 87020906
Least Common Multiple (LCM) of 9326 and 9331 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9326 and 9331. First we will calculate the prime factors of 9326 and 9331.
Prime Factorization of 9326
Prime factors of 9326 are 2, 4663. Prime factorization of 9326 in exponential form is:
9326 = 21 × 46631
Prime Factorization of 9331
Prime factors of 9331 are 7, 31, 43. Prime factorization of 9331 in exponential form is:
9331 = 71 × 311 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 9326 and 9331.
LCM(9326,9331) = 21 × 46631 × 71 × 311 × 431
LCM(9326,9331) = 87020906
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