Least Common Multiple of 249 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 249 and 256 the smallest integer that is 63744 that is divisible by both numbers.

Least Common Multiple (LCM) of 249 and 256 is 63744.

LCM(249,256) = 63744

LCM of 249 and 256

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

LCM of:
and

Least Common Multiple of 249 and 256

LCM of 249 and 256 is 63744

Least common multiple can be found by multiplying the highest exponent prime factors of 249 and 256. First we will calculate the prime factors of 249 and 256.

Prime Factorization of 249


3 249
83 83
1

Prime factors of 249 are 3,83. Prime factorization of 249 in exponential form is:

249 = 31×831

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 249 and 256.

LCM(249,256) = 28×31×831
LCM(249,256) = 63744

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1, 3, 83, 249

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 249 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 249 and 256, than apply into the LCM equation.

GCF(249,256) = 1
LCM(249,256) = ( 249 × 256) / 1
LCM(249,256) = 63744 / 1
LCM(249,256) = 63744

Properties of LCM 249 and 256

(i) The LCM of 256 and 249 is associative

LCM of 249 and 256 = LCM of 256 and 249

Related Least Common Multiples of 249

Related Least Common Multiples of 256

Frequently Asked Questions on LCM of 249 and 256

1. What is the LCM of 249 and 256?

Answer: LCM of 249 and 256 is 63744.

2. What are the Factors of 249?

Answer: Factors of 249 are 1, 3, 83, 249. There are 4 integers that are factors of 249. The greatest factor of 249 is 249.

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 249 and 256?

Answer:

Least Common Multiple of 249 and 256 = 63744

Step 1: Find the prime factorization of 249

249 = 3 x 83

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 = 63744 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 83

Step 4: Therefore, the least common multiple of 249 and 256 is 63744.