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What is the Least Common Multiple of 27113 and 27121?

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 27113 and 27121 is 735331673.

LCM(27113,27121) = 735331673

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Least Common Multiple of 27113 and 27121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27113 and 27121, than apply into the LCM equation.

GCF(27113,27121) = 1
LCM(27113,27121) = ( 27113 × 27121) / 1
LCM(27113,27121) = 735331673 / 1
LCM(27113,27121) = 735331673

Least Common Multiple (LCM) of 27113 and 27121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27113 and 27121. First we will calculate the prime factors of 27113 and 27121.

Prime Factorization of 27113

Prime factors of 27113 are 19, 1427. Prime factorization of 27113 in exponential form is:

27113 = 191 × 14271

Prime Factorization of 27121

Prime factors of 27121 are 37, 733. Prime factorization of 27121 in exponential form is:

27121 = 371 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 27113 and 27121.

LCM(27113,27121) = 191 × 14271 × 371 × 7331
LCM(27113,27121) = 735331673