What is the Least Common Multiple of 29051 and 29055?
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 29051 and 29055 is 844076805.
LCM(29051,29055) = 844076805
Least Common Multiple of 29051 and 29055 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29051 and 29055, than apply into the LCM equation.
GCF(29051,29055) = 1
LCM(29051,29055) = ( 29051 × 29055) / 1
LCM(29051,29055) = 844076805 / 1
LCM(29051,29055) = 844076805
Least Common Multiple (LCM) of 29051 and 29055 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29051 and 29055. First we will calculate the prime factors of 29051 and 29055.
Prime Factorization of 29051
Prime factors of 29051 are 11, 19, 139. Prime factorization of 29051 in exponential form is:
29051 = 111 × 191 × 1391
Prime Factorization of 29055
Prime factors of 29055 are 3, 5, 13, 149. Prime factorization of 29055 in exponential form is:
29055 = 31 × 51 × 131 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 29051 and 29055.
LCM(29051,29055) = 111 × 191 × 1391 × 31 × 51 × 131 × 1491
LCM(29051,29055) = 844076805
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