What is the Least Common Multiple of 5008 and 5022?
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 5008 and 5022 is 12575088.
LCM(5008,5022) = 12575088
Least Common Multiple of 5008 and 5022 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5008 and 5022, than apply into the LCM equation.
GCF(5008,5022) = 2
LCM(5008,5022) = ( 5008 × 5022) / 2
LCM(5008,5022) = 25150176 / 2
LCM(5008,5022) = 12575088
Least Common Multiple (LCM) of 5008 and 5022 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5008 and 5022. First we will calculate the prime factors of 5008 and 5022.
Prime Factorization of 5008
Prime factors of 5008 are 2, 313. Prime factorization of 5008 in exponential form is:
5008 = 24 × 3131
Prime Factorization of 5022
Prime factors of 5022 are 2, 3, 31. Prime factorization of 5022 in exponential form is:
5022 = 21 × 34 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 5008 and 5022.
LCM(5008,5022) = 24 × 3131 × 34 × 311
LCM(5008,5022) = 12575088
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