What is the Least Common Multiple of 29056 and 29067?
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 29056 and 29067 is 844570752.
LCM(29056,29067) = 844570752
Least Common Multiple of 29056 and 29067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29056 and 29067, than apply into the LCM equation.
GCF(29056,29067) = 1
LCM(29056,29067) = ( 29056 × 29067) / 1
LCM(29056,29067) = 844570752 / 1
LCM(29056,29067) = 844570752
Least Common Multiple (LCM) of 29056 and 29067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29056 and 29067. First we will calculate the prime factors of 29056 and 29067.
Prime Factorization of 29056
Prime factors of 29056 are 2, 227. Prime factorization of 29056 in exponential form is:
29056 = 27 × 2271
Prime Factorization of 29067
Prime factors of 29067 are 3, 9689. Prime factorization of 29067 in exponential form is:
29067 = 31 × 96891
Now multiplying the highest exponent prime factors to calculate the LCM of 29056 and 29067.
LCM(29056,29067) = 27 × 2271 × 31 × 96891
LCM(29056,29067) = 844570752
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