What is the Least Common Multiple of 29794 and 29799?
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 29794 and 29799 is 887831406.
LCM(29794,29799) = 887831406
Least Common Multiple of 29794 and 29799 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29794 and 29799, than apply into the LCM equation.
GCF(29794,29799) = 1
LCM(29794,29799) = ( 29794 × 29799) / 1
LCM(29794,29799) = 887831406 / 1
LCM(29794,29799) = 887831406
Least Common Multiple (LCM) of 29794 and 29799 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29794 and 29799. First we will calculate the prime factors of 29794 and 29799.
Prime Factorization of 29794
Prime factors of 29794 are 2, 14897. Prime factorization of 29794 in exponential form is:
29794 = 21 × 148971
Prime Factorization of 29799
Prime factors of 29799 are 3, 7, 11, 43. Prime factorization of 29799 in exponential form is:
29799 = 32 × 71 × 111 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 29794 and 29799.
LCM(29794,29799) = 21 × 148971 × 32 × 71 × 111 × 431
LCM(29794,29799) = 887831406
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