What is the Least Common Multiple of 11867 and 11872?
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 11867 and 11872 is 140885024.
LCM(11867,11872) = 140885024
Least Common Multiple of 11867 and 11872 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11867 and 11872, than apply into the LCM equation.
GCF(11867,11872) = 1
LCM(11867,11872) = ( 11867 × 11872) / 1
LCM(11867,11872) = 140885024 / 1
LCM(11867,11872) = 140885024
Least Common Multiple (LCM) of 11867 and 11872 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11867 and 11872. First we will calculate the prime factors of 11867 and 11872.
Prime Factorization of 11867
Prime factors of 11867 are 11867. Prime factorization of 11867 in exponential form is:
11867 = 118671
Prime Factorization of 11872
Prime factors of 11872 are 2, 7, 53. Prime factorization of 11872 in exponential form is:
11872 = 25 × 71 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 11867 and 11872.
LCM(11867,11872) = 118671 × 25 × 71 × 531
LCM(11867,11872) = 140885024
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