What is the Least Common Multiple of 29255 and 29267?
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 29255 and 29267 is 856206085.
LCM(29255,29267) = 856206085
Least Common Multiple of 29255 and 29267 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29255 and 29267, than apply into the LCM equation.
GCF(29255,29267) = 1
LCM(29255,29267) = ( 29255 × 29267) / 1
LCM(29255,29267) = 856206085 / 1
LCM(29255,29267) = 856206085
Least Common Multiple (LCM) of 29255 and 29267 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29255 and 29267. First we will calculate the prime factors of 29255 and 29267.
Prime Factorization of 29255
Prime factors of 29255 are 5, 5851. Prime factorization of 29255 in exponential form is:
29255 = 51 × 58511
Prime Factorization of 29267
Prime factors of 29267 are 7, 37, 113. Prime factorization of 29267 in exponential form is:
29267 = 71 × 371 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 29255 and 29267.
LCM(29255,29267) = 51 × 58511 × 71 × 371 × 1131
LCM(29255,29267) = 856206085
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