Least Common Multiple of 256 and 258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 256 and 258 the smallest integer that is 33024 that is divisible by both numbers.

Least Common Multiple (LCM) of 256 and 258 is 33024.

LCM(256,258) = 33024

LCM of 256 and 258

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 256 and 258

LCM of 256 and 258 is 33024

Least common multiple can be found by multiplying the highest exponent prime factors of 256 and 258. First we will calculate the prime factors of 256 and 258.

Prime Factorization of 256


2 256
2 128
2 64
2 32
2 16
2 8
2 4
2 2
1

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

256 = 28

Prime Factorization of 258


2 258
3 129
43 43
1

Prime factors of 258 are 2, 3,43. Prime factorization of 258 in exponential form is:

258 = 21×31×431

Now multiplying the highest exponent prime factors to calculate the LCM of 256 and 258.

LCM(256,258) = 28×31×431
LCM(256,258) = 33024

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Least Common Multiple of 256 and 258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 256 and 258, than apply into the LCM equation.

GCF(256,258) = 2
LCM(256,258) = ( 256 × 258) / 2
LCM(256,258) = 66048 / 2
LCM(256,258) = 33024

Properties of LCM 256 and 258

(i) The LCM of 258 and 256 is associative

LCM of 256 and 258 = LCM of 258 and 256

Related Least Common Multiples of 256

Related Least Common Multiples of 258

Frequently Asked Questions on LCM of 256 and 258

1. What is the LCM of 256 and 258?

Answer: LCM of 256 and 258 is 33024.

2. What are the Factors of 256?

Answer: Factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256. There are 9 integers that are factors of 256. The greatest factor of 256 is 256.

3. What are the Factors of 258?

Answer: Factors of 258 are 1, 2, 3, 6, 43, 86, 129, 258. There are 8 integers that are factors of 258. The greatest factor of 258 is 258.

4. How to Find the LCM of 256 and 258?

Answer:

Least Common Multiple of 256 and 258 = 33024

Step 1: Find the prime factorization of 256

256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Step 2: Find the prime factorization of 258

258 = 2 x 3 x 43

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 33024 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 43

Step 4: Therefore, the least common multiple of 256 and 258 is 33024.