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What is the Least Common Multiple of 27375 and 27391?

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 27375 and 27391 is 749828625.

LCM(27375,27391) = 749828625

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Least Common Multiple of 27375 and 27391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27375 and 27391, than apply into the LCM equation.

GCF(27375,27391) = 1
LCM(27375,27391) = ( 27375 × 27391) / 1
LCM(27375,27391) = 749828625 / 1
LCM(27375,27391) = 749828625

Least Common Multiple (LCM) of 27375 and 27391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27375 and 27391. First we will calculate the prime factors of 27375 and 27391.

Prime Factorization of 27375

Prime factors of 27375 are 3, 5, 73. Prime factorization of 27375 in exponential form is:

27375 = 31 × 53 × 731

Prime Factorization of 27391

Prime factors of 27391 are 7, 13, 43. Prime factorization of 27391 in exponential form is:

27391 = 72 × 131 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 27375 and 27391.

LCM(27375,27391) = 31 × 53 × 731 × 72 × 131 × 431
LCM(27375,27391) = 749828625