Least Common Multiple of 8248 and 8256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8248 and 8256 the smallest integer that is 8511936 that is divisible by both numbers.

Least Common Multiple (LCM) of 8248 and 8256 is 8511936.

LCM(8248,8256) = 8511936

LCM of 8248 and 8256

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

LCM of:
and

Least Common Multiple of 8248 and 8256

LCM of 8248 and 8256 is 8511936

Least common multiple can be found by multiplying the highest exponent prime factors of 8248 and 8256. First we will calculate the prime factors of 8248 and 8256.

Prime Factorization of 8248


2 8248
2 4124
2 2062
1031 1031
1

Prime factors of 8248 are 2,1031. Prime factorization of 8248 in exponential form is:

8248 = 23×10311

Prime Factorization of 8256


2 8256
2 4128
2 2064
2 1032
2 516
2 258
3 129
43 43
1

Prime factors of 8256 are 2, 3,43. Prime factorization of 8256 in exponential form is:

8256 = 26×31×431

Now multiplying the highest exponent prime factors to calculate the LCM of 8248 and 8256.

LCM(8248,8256) = 26×31×431×10311
LCM(8248,8256) = 8511936

Factors of 8248

List of positive integer factors of 8248 that divides 8248 without a remainder.

1, 2, 4, 8, 1031, 2062, 4124, 8248

Factors of 8256

List of positive integer factors of 8256 that divides 8256 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 129, 172, 192, 258, 344, 516, 688, 1032, 1376, 2064, 2752, 4128, 8256

Least Common Multiple of 8248 and 8256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8248 and 8256, than apply into the LCM equation.

GCF(8248,8256) = 8
LCM(8248,8256) = ( 8248 × 8256) / 8
LCM(8248,8256) = 68095488 / 8
LCM(8248,8256) = 8511936

Properties of LCM 8248 and 8256

(i) The LCM of 8256 and 8248 is associative

LCM of 8248 and 8256 = LCM of 8256 and 8248

Related Least Common Multiples of 8248

Related Least Common Multiples of 8256

Frequently Asked Questions on LCM of 8248 and 8256

1. What is the LCM of 8248 and 8256?

Answer: LCM of 8248 and 8256 is 8511936.

2. What are the Factors of 8248?

Answer: Factors of 8248 are 1, 2, 4, 8, 1031, 2062, 4124, 8248. There are 8 integers that are factors of 8248. The greatest factor of 8248 is 8248.

3. What are the Factors of 8256?

Answer: Factors of 8256 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 129, 172, 192, 258, 344, 516, 688, 1032, 1376, 2064, 2752, 4128, 8256. There are 28 integers that are factors of 8256. The greatest factor of 8256 is 8256.

4. How to Find the LCM of 8248 and 8256?

Answer:

Least Common Multiple of 8248 and 8256 = 8511936

Step 1: Find the prime factorization of 8248

8248 = 2 x 2 x 2 x 1031

Step 2: Find the prime factorization of 8256

8256 = 2 x 2 x 2 x 2 x 2 x 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 = 8511936 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 43 x 1031

Step 4: Therefore, the least common multiple of 8248 and 8256 is 8511936.