What is the Least Common Multiple of 11881 and 11886?
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 11881 and 11886 is 141217566.
LCM(11881,11886) = 141217566
Least Common Multiple of 11881 and 11886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11881 and 11886, than apply into the LCM equation.
GCF(11881,11886) = 1
LCM(11881,11886) = ( 11881 × 11886) / 1
LCM(11881,11886) = 141217566 / 1
LCM(11881,11886) = 141217566
Least Common Multiple (LCM) of 11881 and 11886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11881 and 11886. First we will calculate the prime factors of 11881 and 11886.
Prime Factorization of 11881
Prime factors of 11881 are 109. Prime factorization of 11881 in exponential form is:
11881 = 1092
Prime Factorization of 11886
Prime factors of 11886 are 2, 3, 7, 283. Prime factorization of 11886 in exponential form is:
11886 = 21 × 31 × 71 × 2831
Now multiplying the highest exponent prime factors to calculate the LCM of 11881 and 11886.
LCM(11881,11886) = 1092 × 21 × 31 × 71 × 2831
LCM(11881,11886) = 141217566
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