What is the Least Common Multiple of 29023 and 29027?
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 29023 and 29027 is 842450621.
LCM(29023,29027) = 842450621
Least Common Multiple of 29023 and 29027 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29023 and 29027, than apply into the LCM equation.
GCF(29023,29027) = 1
LCM(29023,29027) = ( 29023 × 29027) / 1
LCM(29023,29027) = 842450621 / 1
LCM(29023,29027) = 842450621
Least Common Multiple (LCM) of 29023 and 29027 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29023 and 29027. First we will calculate the prime factors of 29023 and 29027.
Prime Factorization of 29023
Prime factors of 29023 are 29023. Prime factorization of 29023 in exponential form is:
29023 = 290231
Prime Factorization of 29027
Prime factors of 29027 are 29027. Prime factorization of 29027 in exponential form is:
29027 = 290271
Now multiplying the highest exponent prime factors to calculate the LCM of 29023 and 29027.
LCM(29023,29027) = 290231 × 290271
LCM(29023,29027) = 842450621
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