What is the Least Common Multiple of 9326 and 9340?
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 9340 is 43552420.
LCM(9326,9340) = 43552420
Least Common Multiple of 9326 and 9340 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 9340, than apply into the LCM equation.
GCF(9326,9340) = 2
LCM(9326,9340) = ( 9326 × 9340) / 2
LCM(9326,9340) = 87104840 / 2
LCM(9326,9340) = 43552420
Least Common Multiple (LCM) of 9326 and 9340 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9326 and 9340. First we will calculate the prime factors of 9326 and 9340.
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 9340
Prime factors of 9340 are 2, 5, 467. Prime factorization of 9340 in exponential form is:
9340 = 22 × 51 × 4671
Now multiplying the highest exponent prime factors to calculate the LCM of 9326 and 9340.
LCM(9326,9340) = 22 × 46631 × 51 × 4671
LCM(9326,9340) = 43552420
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