What is the Least Common Multiple of 255 and 259?
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 255 and 259 is 66045.
LCM(255,259) = 66045
Least Common Multiple of 255 and 259 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 255 and 259, than apply into the LCM equation.
GCF(255,259) = 1
LCM(255,259) = ( 255 × 259) / 1
LCM(255,259) = 66045 / 1
LCM(255,259) = 66045
Least Common Multiple (LCM) of 255 and 259 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 255 and 259. First we will calculate the prime factors of 255 and 259.
Prime Factorization of 255
Prime factors of 255 are 3, 5, 17. Prime factorization of 255 in exponential form is:
255 = 31 × 51 × 171
Prime Factorization of 259
Prime factors of 259 are 7, 37. Prime factorization of 259 in exponential form is:
259 = 71 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 255 and 259.
LCM(255,259) = 31 × 51 × 171 × 71 × 371
LCM(255,259) = 66045
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