What is the Least Common Multiple of 29065 and 29077?
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 29065 and 29077 is 845123005.
LCM(29065,29077) = 845123005
Least Common Multiple of 29065 and 29077 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29065 and 29077, than apply into the LCM equation.
GCF(29065,29077) = 1
LCM(29065,29077) = ( 29065 × 29077) / 1
LCM(29065,29077) = 845123005 / 1
LCM(29065,29077) = 845123005
Least Common Multiple (LCM) of 29065 and 29077 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29065 and 29077. First we will calculate the prime factors of 29065 and 29077.
Prime Factorization of 29065
Prime factors of 29065 are 5, 5813. Prime factorization of 29065 in exponential form is:
29065 = 51 × 58131
Prime Factorization of 29077
Prime factors of 29077 are 29077. Prime factorization of 29077 in exponential form is:
29077 = 290771
Now multiplying the highest exponent prime factors to calculate the LCM of 29065 and 29077.
LCM(29065,29077) = 51 × 58131 × 290771
LCM(29065,29077) = 845123005
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