What is the Least Common Multiple of 29239 and 29248?
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 29239 and 29248 is 855182272.
LCM(29239,29248) = 855182272
Least Common Multiple of 29239 and 29248 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29239 and 29248, than apply into the LCM equation.
GCF(29239,29248) = 1
LCM(29239,29248) = ( 29239 × 29248) / 1
LCM(29239,29248) = 855182272 / 1
LCM(29239,29248) = 855182272
Least Common Multiple (LCM) of 29239 and 29248 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29239 and 29248. First we will calculate the prime factors of 29239 and 29248.
Prime Factorization of 29239
Prime factors of 29239 are 7, 4177. Prime factorization of 29239 in exponential form is:
29239 = 71 × 41771
Prime Factorization of 29248
Prime factors of 29248 are 2, 457. Prime factorization of 29248 in exponential form is:
29248 = 26 × 4571
Now multiplying the highest exponent prime factors to calculate the LCM of 29239 and 29248.
LCM(29239,29248) = 71 × 41771 × 26 × 4571
LCM(29239,29248) = 855182272
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