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What is the Least Common Multiple of 27103 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 27103 and 27121 is 735060463.

LCM(27103,27121) = 735060463

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Least Common Multiple of 27103 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 27103 and 27121, than apply into the LCM equation.

GCF(27103,27121) = 1
LCM(27103,27121) = ( 27103 × 27121) / 1
LCM(27103,27121) = 735060463 / 1
LCM(27103,27121) = 735060463

Least Common Multiple (LCM) of 27103 and 27121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27103 and 27121. First we will calculate the prime factors of 27103 and 27121.

Prime Factorization of 27103

Prime factors of 27103 are 27103. Prime factorization of 27103 in exponential form is:

27103 = 271031

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 27103 and 27121.

LCM(27103,27121) = 271031 × 371 × 7331
LCM(27103,27121) = 735060463