What is the Least Common Multiple of 29333 and 29341?
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 29333 and 29341 is 860659553.
LCM(29333,29341) = 860659553
Least Common Multiple of 29333 and 29341 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29333 and 29341, than apply into the LCM equation.
GCF(29333,29341) = 1
LCM(29333,29341) = ( 29333 × 29341) / 1
LCM(29333,29341) = 860659553 / 1
LCM(29333,29341) = 860659553
Least Common Multiple (LCM) of 29333 and 29341 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29333 and 29341. First we will calculate the prime factors of 29333 and 29341.
Prime Factorization of 29333
Prime factors of 29333 are 29333. Prime factorization of 29333 in exponential form is:
29333 = 293331
Prime Factorization of 29341
Prime factors of 29341 are 13, 37, 61. Prime factorization of 29341 in exponential form is:
29341 = 131 × 371 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 29333 and 29341.
LCM(29333,29341) = 293331 × 131 × 371 × 611
LCM(29333,29341) = 860659553
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