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What is the Least Common Multiple of 27321 and 27341?

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 27341 is 746983461.

LCM(27321,27341) = 746983461

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Least Common Multiple of 27321 and 27341 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 27341, than apply into the LCM equation.

GCF(27321,27341) = 1
LCM(27321,27341) = ( 27321 × 27341) / 1
LCM(27321,27341) = 746983461 / 1
LCM(27321,27341) = 746983461

Least Common Multiple (LCM) of 27321 and 27341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27321 and 27341. First we will calculate the prime factors of 27321 and 27341.

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 27341

Prime factors of 27341 are 19, 1439. Prime factorization of 27341 in exponential form is:

27341 = 191 × 14391

Now multiplying the highest exponent prime factors to calculate the LCM of 27321 and 27341.

LCM(27321,27341) = 31 × 71 × 13011 × 191 × 14391
LCM(27321,27341) = 746983461