What is the Least Common Multiple of 50004 and 50008?
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 50004 and 50008 is 625150008.
LCM(50004,50008) = 625150008
Least Common Multiple of 50004 and 50008 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50004 and 50008, than apply into the LCM equation.
GCF(50004,50008) = 4
LCM(50004,50008) = ( 50004 × 50008) / 4
LCM(50004,50008) = 2500600032 / 4
LCM(50004,50008) = 625150008
Least Common Multiple (LCM) of 50004 and 50008 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50004 and 50008. First we will calculate the prime factors of 50004 and 50008.
Prime Factorization of 50004
Prime factors of 50004 are 2, 3, 463. Prime factorization of 50004 in exponential form is:
50004 = 22 × 33 × 4631
Prime Factorization of 50008
Prime factors of 50008 are 2, 7, 19, 47. Prime factorization of 50008 in exponential form is:
50008 = 23 × 71 × 191 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 50004 and 50008.
LCM(50004,50008) = 23 × 33 × 4631 × 71 × 191 × 471
LCM(50004,50008) = 625150008
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