What is the Least Common Multiple of 20023 and 20032?
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 20023 and 20032 is 401100736.
LCM(20023,20032) = 401100736
Least Common Multiple of 20023 and 20032 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20023 and 20032, than apply into the LCM equation.
GCF(20023,20032) = 1
LCM(20023,20032) = ( 20023 × 20032) / 1
LCM(20023,20032) = 401100736 / 1
LCM(20023,20032) = 401100736
Least Common Multiple (LCM) of 20023 and 20032 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20023 and 20032. First we will calculate the prime factors of 20023 and 20032.
Prime Factorization of 20023
Prime factors of 20023 are 20023. Prime factorization of 20023 in exponential form is:
20023 = 200231
Prime Factorization of 20032
Prime factors of 20032 are 2, 313. Prime factorization of 20032 in exponential form is:
20032 = 26 × 3131
Now multiplying the highest exponent prime factors to calculate the LCM of 20023 and 20032.
LCM(20023,20032) = 200231 × 26 × 3131
LCM(20023,20032) = 401100736
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