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What is the Least Common Multiple of 27294 and 27303?

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 27294 and 27303 is 248402694.

LCM(27294,27303) = 248402694

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Least Common Multiple of 27294 and 27303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27294 and 27303, than apply into the LCM equation.

GCF(27294,27303) = 3
LCM(27294,27303) = ( 27294 × 27303) / 3
LCM(27294,27303) = 745208082 / 3
LCM(27294,27303) = 248402694

Least Common Multiple (LCM) of 27294 and 27303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27294 and 27303. First we will calculate the prime factors of 27294 and 27303.

Prime Factorization of 27294

Prime factors of 27294 are 2, 3, 4549. Prime factorization of 27294 in exponential form is:

27294 = 21 × 31 × 45491

Prime Factorization of 27303

Prime factors of 27303 are 3, 19, 479. Prime factorization of 27303 in exponential form is:

27303 = 31 × 191 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 27294 and 27303.

LCM(27294,27303) = 21 × 31 × 45491 × 191 × 4791
LCM(27294,27303) = 248402694