What is the Least Common Multiple of 255 and 261?
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 261 is 22185.
LCM(255,261) = 22185
Least Common Multiple of 255 and 261 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 261, than apply into the LCM equation.
GCF(255,261) = 3
LCM(255,261) = ( 255 × 261) / 3
LCM(255,261) = 66555 / 3
LCM(255,261) = 22185
Least Common Multiple (LCM) of 255 and 261 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 255 and 261. First we will calculate the prime factors of 255 and 261.
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 261
Prime factors of 261 are 3, 29. Prime factorization of 261 in exponential form is:
261 = 32 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 255 and 261.
LCM(255,261) = 32 × 51 × 171 × 291
LCM(255,261) = 22185
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