What is the Least Common Multiple of 11851 and 11855?
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 11851 and 11855 is 140493605.
LCM(11851,11855) = 140493605
Least Common Multiple of 11851 and 11855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11851 and 11855, than apply into the LCM equation.
GCF(11851,11855) = 1
LCM(11851,11855) = ( 11851 × 11855) / 1
LCM(11851,11855) = 140493605 / 1
LCM(11851,11855) = 140493605
Least Common Multiple (LCM) of 11851 and 11855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11851 and 11855. First we will calculate the prime factors of 11851 and 11855.
Prime Factorization of 11851
Prime factors of 11851 are 7, 1693. Prime factorization of 11851 in exponential form is:
11851 = 71 × 16931
Prime Factorization of 11855
Prime factors of 11855 are 5, 2371. Prime factorization of 11855 in exponential form is:
11855 = 51 × 23711
Now multiplying the highest exponent prime factors to calculate the LCM of 11851 and 11855.
LCM(11851,11855) = 71 × 16931 × 51 × 23711
LCM(11851,11855) = 140493605
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