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What is the Least Common Multiple of 27294 and 27299?

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 27299 is 745098906.

LCM(27294,27299) = 745098906

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Least Common Multiple of 27294 and 27299 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 27299, than apply into the LCM equation.

GCF(27294,27299) = 1
LCM(27294,27299) = ( 27294 × 27299) / 1
LCM(27294,27299) = 745098906 / 1
LCM(27294,27299) = 745098906

Least Common Multiple (LCM) of 27294 and 27299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27294 and 27299. First we will calculate the prime factors of 27294 and 27299.

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 27299

Prime factors of 27299 are 27299. Prime factorization of 27299 in exponential form is:

27299 = 272991

Now multiplying the highest exponent prime factors to calculate the LCM of 27294 and 27299.

LCM(27294,27299) = 21 × 31 × 45491 × 272991
LCM(27294,27299) = 745098906