What is the Least Common Multiple of 9358 and 9366?
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 9366 is 43823514.
LCM(9358,9366) = 43823514
Least Common Multiple of 9358 and 9366 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 9366, than apply into the LCM equation.
GCF(9358,9366) = 2
LCM(9358,9366) = ( 9358 × 9366) / 2
LCM(9358,9366) = 87647028 / 2
LCM(9358,9366) = 43823514
Least Common Multiple (LCM) of 9358 and 9366 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9358 and 9366. First we will calculate the prime factors of 9358 and 9366.
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 9366
Prime factors of 9366 are 2, 3, 7, 223. Prime factorization of 9366 in exponential form is:
9366 = 21 × 31 × 71 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 9358 and 9366.
LCM(9358,9366) = 21 × 46791 × 31 × 71 × 2231
LCM(9358,9366) = 43823514
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