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What is the Least Common Multiple of 13901 and 13905?

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 13901 and 13905 is 193293405.

LCM(13901,13905) = 193293405

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Least Common Multiple of 13901 and 13905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13901 and 13905, than apply into the LCM equation.

GCF(13901,13905) = 1
LCM(13901,13905) = ( 13901 × 13905) / 1
LCM(13901,13905) = 193293405 / 1
LCM(13901,13905) = 193293405

Least Common Multiple (LCM) of 13901 and 13905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13901 and 13905. First we will calculate the prime factors of 13901 and 13905.

Prime Factorization of 13901

Prime factors of 13901 are 13901. Prime factorization of 13901 in exponential form is:

13901 = 139011

Prime Factorization of 13905

Prime factors of 13905 are 3, 5, 103. Prime factorization of 13905 in exponential form is:

13905 = 33 × 51 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 13901 and 13905.

LCM(13901,13905) = 139011 × 33 × 51 × 1031
LCM(13901,13905) = 193293405