What is the Least Common Multiple of 12837 and 12841?
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 12837 and 12841 is 164839917.
LCM(12837,12841) = 164839917
Least Common Multiple of 12837 and 12841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12837 and 12841, than apply into the LCM equation.
GCF(12837,12841) = 1
LCM(12837,12841) = ( 12837 × 12841) / 1
LCM(12837,12841) = 164839917 / 1
LCM(12837,12841) = 164839917
Least Common Multiple (LCM) of 12837 and 12841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12837 and 12841. First we will calculate the prime factors of 12837 and 12841.
Prime Factorization of 12837
Prime factors of 12837 are 3, 11, 389. Prime factorization of 12837 in exponential form is:
12837 = 31 × 111 × 3891
Prime Factorization of 12841
Prime factors of 12841 are 12841. Prime factorization of 12841 in exponential form is:
12841 = 128411
Now multiplying the highest exponent prime factors to calculate the LCM of 12837 and 12841.
LCM(12837,12841) = 31 × 111 × 3891 × 128411
LCM(12837,12841) = 164839917
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