Least Common Multiple of 10204 and 10208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10204 and 10208 the smallest integer that is 26040608 that is divisible by both numbers.

Least Common Multiple (LCM) of 10204 and 10208 is 26040608.

LCM(10204,10208) = 26040608

LCM of 10204 and 10208

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

LCM of:
and

Least Common Multiple of 10204 and 10208

LCM of 10204 and 10208 is 26040608

Least common multiple can be found by multiplying the highest exponent prime factors of 10204 and 10208. First we will calculate the prime factors of 10204 and 10208.

Prime Factorization of 10204


2 10204
2 5102
2551 2551
1

Prime factors of 10204 are 2,2551. Prime factorization of 10204 in exponential form is:

10204 = 22×25511

Prime Factorization of 10208


2 10208
2 5104
2 2552
2 1276
2 638
11 319
29 29
1

Prime factors of 10208 are 2, 11,29. Prime factorization of 10208 in exponential form is:

10208 = 25×111×291

Now multiplying the highest exponent prime factors to calculate the LCM of 10204 and 10208.

LCM(10204,10208) = 25×111×291×25511
LCM(10204,10208) = 26040608

Factors of 10204

List of positive integer factors of 10204 that divides 10204 without a remainder.

1, 2, 4, 2551, 5102, 10204

Factors of 10208

List of positive integer factors of 10208 that divides 10208 without a remainder.

1, 2, 4, 8, 11, 16, 22, 29, 32, 44, 58, 88, 116, 176, 232, 319, 352, 464, 638, 928, 1276, 2552, 5104, 10208

Least Common Multiple of 10204 and 10208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10204 and 10208, than apply into the LCM equation.

GCF(10204,10208) = 4
LCM(10204,10208) = ( 10204 × 10208) / 4
LCM(10204,10208) = 104162432 / 4
LCM(10204,10208) = 26040608

Properties of LCM 10204 and 10208

(i) The LCM of 10208 and 10204 is associative

LCM of 10204 and 10208 = LCM of 10208 and 10204

Related Least Common Multiples of 10204

Related Least Common Multiples of 10208

Frequently Asked Questions on LCM of 10204 and 10208

1. What is the LCM of 10204 and 10208?

Answer: LCM of 10204 and 10208 is 26040608.

2. What are the Factors of 10204?

Answer: Factors of 10204 are 1, 2, 4, 2551, 5102, 10204. There are 6 integers that are factors of 10204. The greatest factor of 10204 is 10204.

3. What are the Factors of 10208?

Answer: Factors of 10208 are 1, 2, 4, 8, 11, 16, 22, 29, 32, 44, 58, 88, 116, 176, 232, 319, 352, 464, 638, 928, 1276, 2552, 5104, 10208. There are 24 integers that are factors of 10208. The greatest factor of 10208 is 10208.

4. How to Find the LCM of 10204 and 10208?

Answer:

Least Common Multiple of 10204 and 10208 = 26040608

Step 1: Find the prime factorization of 10204

10204 = 2 x 2 x 2551

Step 2: Find the prime factorization of 10208

10208 = 2 x 2 x 2 x 2 x 2 x 11 x 29

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

LCM = 26040608 = 2 x 2 x 2 x 2 x 2 x 11 x 29 x 2551

Step 4: Therefore, the least common multiple of 10204 and 10208 is 26040608.