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What is the Least Common Multiple of 93304 and 93318?

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 93304 and 93318 is 4353471336.

LCM(93304,93318) = 4353471336

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Least Common Multiple of 93304 and 93318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93304 and 93318, than apply into the LCM equation.

GCF(93304,93318) = 2
LCM(93304,93318) = ( 93304 × 93318) / 2
LCM(93304,93318) = 8706942672 / 2
LCM(93304,93318) = 4353471336

Least Common Multiple (LCM) of 93304 and 93318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93304 and 93318. First we will calculate the prime factors of 93304 and 93318.

Prime Factorization of 93304

Prime factors of 93304 are 2, 107, 109. Prime factorization of 93304 in exponential form is:

93304 = 23 × 1071 × 1091

Prime Factorization of 93318

Prime factors of 93318 are 2, 3, 103, 151. Prime factorization of 93318 in exponential form is:

93318 = 21 × 31 × 1031 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 93304 and 93318.

LCM(93304,93318) = 23 × 1071 × 1091 × 31 × 1031 × 1511
LCM(93304,93318) = 4353471336