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What is the Least Common Multiple of 27321 and 27338?

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 27321 and 27338 is 746901498.

LCM(27321,27338) = 746901498

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Least Common Multiple of 27321 and 27338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27321 and 27338, than apply into the LCM equation.

GCF(27321,27338) = 1
LCM(27321,27338) = ( 27321 × 27338) / 1
LCM(27321,27338) = 746901498 / 1
LCM(27321,27338) = 746901498

Least Common Multiple (LCM) of 27321 and 27338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27321 and 27338. First we will calculate the prime factors of 27321 and 27338.

Prime Factorization of 27321

Prime factors of 27321 are 3, 7, 1301. Prime factorization of 27321 in exponential form is:

27321 = 31 × 71 × 13011

Prime Factorization of 27338

Prime factors of 27338 are 2, 13669. Prime factorization of 27338 in exponential form is:

27338 = 21 × 136691

Now multiplying the highest exponent prime factors to calculate the LCM of 27321 and 27338.

LCM(27321,27338) = 31 × 71 × 13011 × 21 × 136691
LCM(27321,27338) = 746901498