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What is the Least Common Multiple of 94300 and 94304?

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 94300 and 94304 is 2223216800.

LCM(94300,94304) = 2223216800

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Least Common Multiple of 94300 and 94304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94300 and 94304, than apply into the LCM equation.

GCF(94300,94304) = 4
LCM(94300,94304) = ( 94300 × 94304) / 4
LCM(94300,94304) = 8892867200 / 4
LCM(94300,94304) = 2223216800

Least Common Multiple (LCM) of 94300 and 94304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94300 and 94304. First we will calculate the prime factors of 94300 and 94304.

Prime Factorization of 94300

Prime factors of 94300 are 2, 5, 23, 41. Prime factorization of 94300 in exponential form is:

94300 = 22 × 52 × 231 × 411

Prime Factorization of 94304

Prime factors of 94304 are 2, 7, 421. Prime factorization of 94304 in exponential form is:

94304 = 25 × 71 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 94300 and 94304.

LCM(94300,94304) = 25 × 52 × 231 × 411 × 71 × 4211
LCM(94300,94304) = 2223216800