What is the Least Common Multiple of 29243 and 29249?
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 29243 and 29249 is 855328507.
LCM(29243,29249) = 855328507
Least Common Multiple of 29243 and 29249 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29243 and 29249, than apply into the LCM equation.
GCF(29243,29249) = 1
LCM(29243,29249) = ( 29243 × 29249) / 1
LCM(29243,29249) = 855328507 / 1
LCM(29243,29249) = 855328507
Least Common Multiple (LCM) of 29243 and 29249 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29243 and 29249. First we will calculate the prime factors of 29243 and 29249.
Prime Factorization of 29243
Prime factors of 29243 are 29243. Prime factorization of 29243 in exponential form is:
29243 = 292431
Prime Factorization of 29249
Prime factors of 29249 are 11, 2659. Prime factorization of 29249 in exponential form is:
29249 = 111 × 26591
Now multiplying the highest exponent prime factors to calculate the LCM of 29243 and 29249.
LCM(29243,29249) = 292431 × 111 × 26591
LCM(29243,29249) = 855328507
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