Least Common Multiple of 248 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 248 and 256 the smallest integer that is 7936 that is divisible by both numbers.

Least Common Multiple (LCM) of 248 and 256 is 7936.

LCM(248,256) = 7936

LCM of 248 and 256

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

LCM of:
and

Least Common Multiple of 248 and 256

LCM of 248 and 256 is 7936

Least common multiple can be found by multiplying the highest exponent prime factors of 248 and 256. First we will calculate the prime factors of 248 and 256.

Prime Factorization of 248


2 248
2 124
2 62
31 31
1

Prime factors of 248 are 2,31. Prime factorization of 248 in exponential form is:

248 = 23×311

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 248 and 256.

LCM(248,256) = 28×311
LCM(248,256) = 7936

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

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 248 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 248 and 256, than apply into the LCM equation.

GCF(248,256) = 8
LCM(248,256) = ( 248 × 256) / 8
LCM(248,256) = 63488 / 8
LCM(248,256) = 7936

Properties of LCM 248 and 256

(i) The LCM of 256 and 248 is associative

LCM of 248 and 256 = LCM of 256 and 248

Related Least Common Multiples of 248

Related Least Common Multiples of 256

Frequently Asked Questions on LCM of 248 and 256

1. What is the LCM of 248 and 256?

Answer: LCM of 248 and 256 is 7936.

2. What are the Factors of 248?

Answer: Factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248. There are 8 integers that are factors of 248. The greatest factor of 248 is 248.

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 248 and 256?

Answer:

Least Common Multiple of 248 and 256 = 7936

Step 1: Find the prime factorization of 248

248 = 2 x 2 x 2 x 31

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 = 7936 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 31

Step 4: Therefore, the least common multiple of 248 and 256 is 7936.