What is the Least Common Multiple of 9326 and 9332?
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 9332 is 43515116.
LCM(9326,9332) = 43515116
Least Common Multiple of 9326 and 9332 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 9332, than apply into the LCM equation.
GCF(9326,9332) = 2
LCM(9326,9332) = ( 9326 × 9332) / 2
LCM(9326,9332) = 87030232 / 2
LCM(9326,9332) = 43515116
Least Common Multiple (LCM) of 9326 and 9332 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9326 and 9332. First we will calculate the prime factors of 9326 and 9332.
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 9332
Prime factors of 9332 are 2, 2333. Prime factorization of 9332 in exponential form is:
9332 = 22 × 23331
Now multiplying the highest exponent prime factors to calculate the LCM of 9326 and 9332.
LCM(9326,9332) = 22 × 46631 × 23331
LCM(9326,9332) = 43515116
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