What is the Least Common Multiple of 29276 and 29283?
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 29276 and 29283 is 857289108.
LCM(29276,29283) = 857289108
Least Common Multiple of 29276 and 29283 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29276 and 29283, than apply into the LCM equation.
GCF(29276,29283) = 1
LCM(29276,29283) = ( 29276 × 29283) / 1
LCM(29276,29283) = 857289108 / 1
LCM(29276,29283) = 857289108
Least Common Multiple (LCM) of 29276 and 29283 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29276 and 29283. First we will calculate the prime factors of 29276 and 29283.
Prime Factorization of 29276
Prime factors of 29276 are 2, 13, 563. Prime factorization of 29276 in exponential form is:
29276 = 22 × 131 × 5631
Prime Factorization of 29283
Prime factors of 29283 are 3, 43, 227. Prime factorization of 29283 in exponential form is:
29283 = 31 × 431 × 2271
Now multiplying the highest exponent prime factors to calculate the LCM of 29276 and 29283.
LCM(29276,29283) = 22 × 131 × 5631 × 31 × 431 × 2271
LCM(29276,29283) = 857289108
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