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What is the Least Common Multiple of 9358 and 9376?

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 9376 is 43870304.

LCM(9358,9376) = 43870304

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Least Common Multiple of 9358 and 9376 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 9376, than apply into the LCM equation.

GCF(9358,9376) = 2
LCM(9358,9376) = ( 9358 × 9376) / 2
LCM(9358,9376) = 87740608 / 2
LCM(9358,9376) = 43870304

Least Common Multiple (LCM) of 9358 and 9376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9358 and 9376. First we will calculate the prime factors of 9358 and 9376.

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 9376

Prime factors of 9376 are 2, 293. Prime factorization of 9376 in exponential form is:

9376 = 25 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 9358 and 9376.

LCM(9358,9376) = 25 × 46791 × 2931
LCM(9358,9376) = 43870304