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What is the Least Common Multiple of 9284 and 9304?

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 9284 and 9304 is 21594584.

LCM(9284,9304) = 21594584

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Least Common Multiple of 9284 and 9304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9284 and 9304, than apply into the LCM equation.

GCF(9284,9304) = 4
LCM(9284,9304) = ( 9284 × 9304) / 4
LCM(9284,9304) = 86378336 / 4
LCM(9284,9304) = 21594584

Least Common Multiple (LCM) of 9284 and 9304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9284 and 9304. First we will calculate the prime factors of 9284 and 9304.

Prime Factorization of 9284

Prime factors of 9284 are 2, 11, 211. Prime factorization of 9284 in exponential form is:

9284 = 22 × 111 × 2111

Prime Factorization of 9304

Prime factors of 9304 are 2, 1163. Prime factorization of 9304 in exponential form is:

9304 = 23 × 11631

Now multiplying the highest exponent prime factors to calculate the LCM of 9284 and 9304.

LCM(9284,9304) = 23 × 111 × 2111 × 11631
LCM(9284,9304) = 21594584