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What is the Least Common Multiple of 9336 and 9350?

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 9336 and 9350 is 43645800.

LCM(9336,9350) = 43645800

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Least Common Multiple of 9336 and 9350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9336 and 9350, than apply into the LCM equation.

GCF(9336,9350) = 2
LCM(9336,9350) = ( 9336 × 9350) / 2
LCM(9336,9350) = 87291600 / 2
LCM(9336,9350) = 43645800

Least Common Multiple (LCM) of 9336 and 9350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9336 and 9350. First we will calculate the prime factors of 9336 and 9350.

Prime Factorization of 9336

Prime factors of 9336 are 2, 3, 389. Prime factorization of 9336 in exponential form is:

9336 = 23 × 31 × 3891

Prime Factorization of 9350

Prime factors of 9350 are 2, 5, 11, 17. Prime factorization of 9350 in exponential form is:

9350 = 21 × 52 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 9336 and 9350.

LCM(9336,9350) = 23 × 31 × 3891 × 52 × 111 × 171
LCM(9336,9350) = 43645800