Least Common Multiple of 253 and 256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 253 and 256 the smallest integer that is 64768 that is divisible by both numbers.

Least Common Multiple (LCM) of 253 and 256 is 64768.

LCM(253,256) = 64768

LCM of 253 and 256

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

LCM of:
and

Least Common Multiple of 253 and 256

LCM of 253 and 256 is 64768

Least common multiple can be found by multiplying the highest exponent prime factors of 253 and 256. First we will calculate the prime factors of 253 and 256.

Prime Factorization of 253


11 253
23 23
1

Prime factors of 253 are 11,23. Prime factorization of 253 in exponential form is:

253 = 111×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 253 and 256.

LCM(253,256) = 28×111×231
LCM(253,256) = 64768

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1, 11, 23, 253

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

Least Common Multiple of 253 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 253 and 256, than apply into the LCM equation.

GCF(253,256) = 1
LCM(253,256) = ( 253 × 256) / 1
LCM(253,256) = 64768 / 1
LCM(253,256) = 64768

Properties of LCM 253 and 256

(i) The LCM of 256 and 253 is associative

LCM of 253 and 256 = LCM of 256 and 253

Related Least Common Multiples of 253

Related Least Common Multiples of 256

Frequently Asked Questions on LCM of 253 and 256

1. What is the LCM of 253 and 256?

Answer: LCM of 253 and 256 is 64768.

2. What are the Factors of 253?

Answer: Factors of 253 are 1, 11, 23, 253. There are 4 integers that are factors of 253. The greatest factor of 253 is 253.

3. 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.

4. How to Find the LCM of 253 and 256?

Answer:

Least Common Multiple of 253 and 256 = 64768

Step 1: Find the prime factorization of 253

253 = 11 x 23

Step 2: Find the prime factorization of 256

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

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

LCM = 64768 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11 x 23

Step 4: Therefore, the least common multiple of 253 and 256 is 64768.