# What is the Least Common Multiple of 241 and 256?

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 256 is 61696.

LCM(241,256) = 61696

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## Least Common Multiple of 241 and 256 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 256, than apply into the LCM equation.

GCF(241,256) = 1
LCM(241,256) = ( 241 × 256) / 1
LCM(241,256) = 61696 / 1
LCM(241,256) = 61696

## Least Common Multiple (LCM) of 241 and 256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 241 and 256. First we will calculate the prime factors of 241 and 256.

### Prime Factorization of 241

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

241 = 2411

### Prime Factorization of 256

Prime factors of 256 are 2. Prime factorization of 256 in exponential form is:

256 = 28

Now multiplying the highest exponent prime factors to calculate the LCM of 241 and 256.

LCM(241,256) = 2411 × 28
LCM(241,256) = 61696