What is the Least Common Multiple of 29423 and 29433?
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 29423 and 29433 is 866007159.
LCM(29423,29433) = 866007159
Least Common Multiple of 29423 and 29433 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29423 and 29433, than apply into the LCM equation.
GCF(29423,29433) = 1
LCM(29423,29433) = ( 29423 × 29433) / 1
LCM(29423,29433) = 866007159 / 1
LCM(29423,29433) = 866007159
Least Common Multiple (LCM) of 29423 and 29433 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29423 and 29433. First we will calculate the prime factors of 29423 and 29433.
Prime Factorization of 29423
Prime factors of 29423 are 29423. Prime factorization of 29423 in exponential form is:
29423 = 294231
Prime Factorization of 29433
Prime factors of 29433 are 3, 9811. Prime factorization of 29433 in exponential form is:
29433 = 31 × 98111
Now multiplying the highest exponent prime factors to calculate the LCM of 29423 and 29433.
LCM(29423,29433) = 294231 × 31 × 98111
LCM(29423,29433) = 866007159
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