Least Common Multiple of 10243 and 10248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10243 and 10248 the smallest integer that is 104970264 that is divisible by both numbers.

Least Common Multiple (LCM) of 10243 and 10248 is 104970264.

LCM(10243,10248) = 104970264

LCM of 10243 and 10248

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

LCM of:
and

Least Common Multiple of 10243 and 10248

LCM of 10243 and 10248 is 104970264

Least common multiple can be found by multiplying the highest exponent prime factors of 10243 and 10248. First we will calculate the prime factors of 10243 and 10248.

Prime Factorization of 10243


10243 10243
1

Prime factors of 10243 are 10243. Prime factorization of 10243 in exponential form is:

10243 = 102431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10243 and 10248.

LCM(10243,10248) = 23×31×71×611×102431
LCM(10243,10248) = 104970264

Factors of 10243

List of positive integer factors of 10243 that divides 10243 without a remainder.

1, 10243

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

Least Common Multiple of 10243 and 10248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10243 and 10248, than apply into the LCM equation.

GCF(10243,10248) = 1
LCM(10243,10248) = ( 10243 × 10248) / 1
LCM(10243,10248) = 104970264 / 1
LCM(10243,10248) = 104970264

Properties of LCM 10243 and 10248

(i) The LCM of 10248 and 10243 is associative

LCM of 10243 and 10248 = LCM of 10248 and 10243

Related Least Common Multiples of 10243

Related Least Common Multiples of 10248

Frequently Asked Questions on LCM of 10243 and 10248

1. What is the LCM of 10243 and 10248?

Answer: LCM of 10243 and 10248 is 104970264.

2. What are the Factors of 10243?

Answer: Factors of 10243 are 1, 10243. There are 2 integers that are factors of 10243. The greatest factor of 10243 is 10243.

3. 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.

4. How to Find the LCM of 10243 and 10248?

Answer:

Least Common Multiple of 10243 and 10248 = 104970264

Step 1: Find the prime factorization of 10243

10243 = 10243

Step 2: Find the prime factorization of 10248

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

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

LCM = 104970264 = 2 x 2 x 2 x 3 x 7 x 61 x 10243

Step 4: Therefore, the least common multiple of 10243 and 10248 is 104970264.