What is the Least Common Multiple of 50008 and 50017?
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 50008 and 50017 is 2501250136.
LCM(50008,50017) = 2501250136
Least Common Multiple of 50008 and 50017 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50008 and 50017, than apply into the LCM equation.
GCF(50008,50017) = 1
LCM(50008,50017) = ( 50008 × 50017) / 1
LCM(50008,50017) = 2501250136 / 1
LCM(50008,50017) = 2501250136
Least Common Multiple (LCM) of 50008 and 50017 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50008 and 50017. First we will calculate the prime factors of 50008 and 50017.
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
Prime Factorization of 50017
Prime factors of 50017 are 11, 4547. Prime factorization of 50017 in exponential form is:
50017 = 111 × 45471
Now multiplying the highest exponent prime factors to calculate the LCM of 50008 and 50017.
LCM(50008,50017) = 23 × 71 × 191 × 471 × 111 × 45471
LCM(50008,50017) = 2501250136
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