What is the Least Common Multiple of 11981 and 11997?
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 11981 and 11997 is 143736057.
LCM(11981,11997) = 143736057
Least Common Multiple of 11981 and 11997 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11981 and 11997, than apply into the LCM equation.
GCF(11981,11997) = 1
LCM(11981,11997) = ( 11981 × 11997) / 1
LCM(11981,11997) = 143736057 / 1
LCM(11981,11997) = 143736057
Least Common Multiple (LCM) of 11981 and 11997 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11981 and 11997. First we will calculate the prime factors of 11981 and 11997.
Prime Factorization of 11981
Prime factors of 11981 are 11981. Prime factorization of 11981 in exponential form is:
11981 = 119811
Prime Factorization of 11997
Prime factors of 11997 are 3, 31, 43. Prime factorization of 11997 in exponential form is:
11997 = 32 × 311 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 11981 and 11997.
LCM(11981,11997) = 119811 × 32 × 311 × 431
LCM(11981,11997) = 143736057
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