Least Common Multiple of 10248 and 10256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10248 and 10256 the smallest integer that is 13137936 that is divisible by both numbers.

Least Common Multiple (LCM) of 10248 and 10256 is 13137936.

LCM(10248,10256) = 13137936

LCM of 10248 and 10256

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

LCM of:
and

Least Common Multiple of 10248 and 10256

LCM of 10248 and 10256 is 13137936

Least common multiple can be found by multiplying the highest exponent prime factors of 10248 and 10256. First we will calculate the prime factors of 10248 and 10256.

Prime Factorization of 10248


2 10248
2 5124
2 2562
3 1281
7 427
61 61
1

Prime factors of 10248 are 2, 3, 7,61. Prime factorization of 10248 in exponential form is:

10248 = 23×31×71×611

Prime Factorization of 10256


2 10256
2 5128
2 2564
2 1282
641 641
1

Prime factors of 10256 are 2,641. Prime factorization of 10256 in exponential form is:

10256 = 24×6411

Now multiplying the highest exponent prime factors to calculate the LCM of 10248 and 10256.

LCM(10248,10256) = 24×31×71×611×6411
LCM(10248,10256) = 13137936

Factors of 10248

List of positive integer factors of 10248 that divides 10248 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 61, 84, 122, 168, 183, 244, 366, 427, 488, 732, 854, 1281, 1464, 1708, 2562, 3416, 5124, 10248

Factors of 10256

List of positive integer factors of 10256 that divides 10256 without a remainder.

1, 2, 4, 8, 16, 641, 1282, 2564, 5128, 10256

Least Common Multiple of 10248 and 10256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10248 and 10256, than apply into the LCM equation.

GCF(10248,10256) = 8
LCM(10248,10256) = ( 10248 × 10256) / 8
LCM(10248,10256) = 105103488 / 8
LCM(10248,10256) = 13137936

Properties of LCM 10248 and 10256

(i) The LCM of 10256 and 10248 is associative

LCM of 10248 and 10256 = LCM of 10256 and 10248

Related Least Common Multiples of 10248

Related Least Common Multiples of 10256

Frequently Asked Questions on LCM of 10248 and 10256

1. What is the LCM of 10248 and 10256?

Answer: LCM of 10248 and 10256 is 13137936.

2. What are the Factors of 10248?

Answer: Factors of 10248 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 61, 84, 122, 168, 183, 244, 366, 427, 488, 732, 854, 1281, 1464, 1708, 2562, 3416, 5124, 10248. There are 32 integers that are factors of 10248. The greatest factor of 10248 is 10248.

3. What are the Factors of 10256?

Answer: Factors of 10256 are 1, 2, 4, 8, 16, 641, 1282, 2564, 5128, 10256. There are 10 integers that are factors of 10256. The greatest factor of 10256 is 10256.

4. How to Find the LCM of 10248 and 10256?

Answer:

Least Common Multiple of 10248 and 10256 = 13137936

Step 1: Find the prime factorization of 10248

10248 = 2 x 2 x 2 x 3 x 7 x 61

Step 2: Find the prime factorization of 10256

10256 = 2 x 2 x 2 x 2 x 641

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

LCM = 13137936 = 2 x 2 x 2 x 2 x 3 x 7 x 61 x 641

Step 4: Therefore, the least common multiple of 10248 and 10256 is 13137936.