What is the Least Common Multiple of 12004 and 12011?
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 12004 and 12011 is 144180044.
LCM(12004,12011) = 144180044
Least Common Multiple of 12004 and 12011 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12004 and 12011, than apply into the LCM equation.
GCF(12004,12011) = 1
LCM(12004,12011) = ( 12004 × 12011) / 1
LCM(12004,12011) = 144180044 / 1
LCM(12004,12011) = 144180044
Least Common Multiple (LCM) of 12004 and 12011 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12004 and 12011. First we will calculate the prime factors of 12004 and 12011.
Prime Factorization of 12004
Prime factors of 12004 are 2, 3001. Prime factorization of 12004 in exponential form is:
12004 = 22 × 30011
Prime Factorization of 12011
Prime factors of 12011 are 12011. Prime factorization of 12011 in exponential form is:
12011 = 120111
Now multiplying the highest exponent prime factors to calculate the LCM of 12004 and 12011.
LCM(12004,12011) = 22 × 30011 × 120111
LCM(12004,12011) = 144180044
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