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What is the Least Common Multiple of 13837 and 13845?

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 13837 and 13845 is 191573265.

LCM(13837,13845) = 191573265

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Least Common Multiple of 13837 and 13845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13837 and 13845, than apply into the LCM equation.

GCF(13837,13845) = 1
LCM(13837,13845) = ( 13837 × 13845) / 1
LCM(13837,13845) = 191573265 / 1
LCM(13837,13845) = 191573265

Least Common Multiple (LCM) of 13837 and 13845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13837 and 13845. First we will calculate the prime factors of 13837 and 13845.

Prime Factorization of 13837

Prime factors of 13837 are 101, 137. Prime factorization of 13837 in exponential form is:

13837 = 1011 × 1371

Prime Factorization of 13845

Prime factors of 13845 are 3, 5, 13, 71. Prime factorization of 13845 in exponential form is:

13845 = 31 × 51 × 131 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 13837 and 13845.

LCM(13837,13845) = 1011 × 1371 × 31 × 51 × 131 × 711
LCM(13837,13845) = 191573265