What is the Least Common Multiple of 29055 and 29063?
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 29055 and 29063 is 844425465.
LCM(29055,29063) = 844425465
Least Common Multiple of 29055 and 29063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29055 and 29063, than apply into the LCM equation.
GCF(29055,29063) = 1
LCM(29055,29063) = ( 29055 × 29063) / 1
LCM(29055,29063) = 844425465 / 1
LCM(29055,29063) = 844425465
Least Common Multiple (LCM) of 29055 and 29063 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29055 and 29063. First we will calculate the prime factors of 29055 and 29063.
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
Prime Factorization of 29063
Prime factors of 29063 are 29063. Prime factorization of 29063 in exponential form is:
29063 = 290631
Now multiplying the highest exponent prime factors to calculate the LCM of 29055 and 29063.
LCM(29055,29063) = 31 × 51 × 131 × 1491 × 290631
LCM(29055,29063) = 844425465
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