What is the Least Common Multiple of 9358 and 9368?
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 9358 and 9368 is 43832872.
LCM(9358,9368) = 43832872
Least Common Multiple of 9358 and 9368 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9358 and 9368, than apply into the LCM equation.
GCF(9358,9368) = 2
LCM(9358,9368) = ( 9358 × 9368) / 2
LCM(9358,9368) = 87665744 / 2
LCM(9358,9368) = 43832872
Least Common Multiple (LCM) of 9358 and 9368 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9358 and 9368. First we will calculate the prime factors of 9358 and 9368.
Prime Factorization of 9358
Prime factors of 9358 are 2, 4679. Prime factorization of 9358 in exponential form is:
9358 = 21 × 46791
Prime Factorization of 9368
Prime factors of 9368 are 2, 1171. Prime factorization of 9368 in exponential form is:
9368 = 23 × 11711
Now multiplying the highest exponent prime factors to calculate the LCM of 9358 and 9368.
LCM(9358,9368) = 23 × 46791 × 11711
LCM(9358,9368) = 43832872
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