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What is the Least Common Multiple of 66304 and 66321?

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 66304 and 66321 is 4397347584.

LCM(66304,66321) = 4397347584

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Least Common Multiple of 66304 and 66321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66304 and 66321, than apply into the LCM equation.

GCF(66304,66321) = 1
LCM(66304,66321) = ( 66304 × 66321) / 1
LCM(66304,66321) = 4397347584 / 1
LCM(66304,66321) = 4397347584

Least Common Multiple (LCM) of 66304 and 66321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66304 and 66321. First we will calculate the prime factors of 66304 and 66321.

Prime Factorization of 66304

Prime factors of 66304 are 2, 7, 37. Prime factorization of 66304 in exponential form is:

66304 = 28 × 71 × 371

Prime Factorization of 66321

Prime factors of 66321 are 3, 7369. Prime factorization of 66321 in exponential form is:

66321 = 32 × 73691

Now multiplying the highest exponent prime factors to calculate the LCM of 66304 and 66321.

LCM(66304,66321) = 28 × 71 × 371 × 32 × 73691
LCM(66304,66321) = 4397347584