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What is the Least Common Multiple of 27298 and 27313?

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 27298 and 27313 is 745590274.

LCM(27298,27313) = 745590274

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Least Common Multiple of 27298 and 27313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27298 and 27313, than apply into the LCM equation.

GCF(27298,27313) = 1
LCM(27298,27313) = ( 27298 × 27313) / 1
LCM(27298,27313) = 745590274 / 1
LCM(27298,27313) = 745590274

Least Common Multiple (LCM) of 27298 and 27313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27298 and 27313. First we will calculate the prime factors of 27298 and 27313.

Prime Factorization of 27298

Prime factors of 27298 are 2, 13649. Prime factorization of 27298 in exponential form is:

27298 = 21 × 136491

Prime Factorization of 27313

Prime factors of 27313 are 11, 13, 191. Prime factorization of 27313 in exponential form is:

27313 = 111 × 131 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 27298 and 27313.

LCM(27298,27313) = 21 × 136491 × 111 × 131 × 1911
LCM(27298,27313) = 745590274