Least Common Multiple of 10208 and 10213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10208 and 10213 the smallest integer that is 104254304 that is divisible by both numbers.

Least Common Multiple (LCM) of 10208 and 10213 is 104254304.

LCM(10208,10213) = 104254304

LCM of 10208 and 10213

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

LCM of:
and

Least Common Multiple of 10208 and 10213

LCM of 10208 and 10213 is 104254304

Least common multiple can be found by multiplying the highest exponent prime factors of 10208 and 10213. First we will calculate the prime factors of 10208 and 10213.

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

Prime Factorization of 10213


7 10213
1459 1459
1

Prime factors of 10213 are 7,1459. Prime factorization of 10213 in exponential form is:

10213 = 71×14591

Now multiplying the highest exponent prime factors to calculate the LCM of 10208 and 10213.

LCM(10208,10213) = 25×71×111×291×14591
LCM(10208,10213) = 104254304

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

Factors of 10213

List of positive integer factors of 10213 that divides 10213 without a remainder.

1, 7, 1459, 10213

Least Common Multiple of 10208 and 10213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10208 and 10213, than apply into the LCM equation.

GCF(10208,10213) = 1
LCM(10208,10213) = ( 10208 × 10213) / 1
LCM(10208,10213) = 104254304 / 1
LCM(10208,10213) = 104254304

Properties of LCM 10208 and 10213

(i) The LCM of 10213 and 10208 is associative

LCM of 10208 and 10213 = LCM of 10213 and 10208

Related Least Common Multiples of 10208

Related Least Common Multiples of 10213

Frequently Asked Questions on LCM of 10208 and 10213

1. What is the LCM of 10208 and 10213?

Answer: LCM of 10208 and 10213 is 104254304.

2. 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.

3. What are the Factors of 10213?

Answer: Factors of 10213 are 1, 7, 1459, 10213. There are 4 integers that are factors of 10213. The greatest factor of 10213 is 10213.

4. How to Find the LCM of 10208 and 10213?

Answer:

Least Common Multiple of 10208 and 10213 = 104254304

Step 1: Find the prime factorization of 10208

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

Step 2: Find the prime factorization of 10213

10213 = 7 x 1459

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

LCM = 104254304 = 2 x 2 x 2 x 2 x 2 x 7 x 11 x 29 x 1459

Step 4: Therefore, the least common multiple of 10208 and 10213 is 104254304.