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What is the Least Common Multiple of 241 and 255?

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 241 and 255 is 61455.

LCM(241,255) = 61455

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Least Common Multiple of 241 and 255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 241 and 255, than apply into the LCM equation.

GCF(241,255) = 1
LCM(241,255) = ( 241 × 255) / 1
LCM(241,255) = 61455 / 1
LCM(241,255) = 61455

Least Common Multiple (LCM) of 241 and 255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 241 and 255. First we will calculate the prime factors of 241 and 255.

Prime Factorization of 241

Prime factors of 241 are 241. Prime factorization of 241 in exponential form is:

241 = 2411

Prime Factorization of 255

Prime factors of 255 are 3, 5, 17. Prime factorization of 255 in exponential form is:

255 = 31 × 51 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 241 and 255.

LCM(241,255) = 2411 × 31 × 51 × 171
LCM(241,255) = 61455

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