Least Common Multiple of 17204 and 17211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17204 and 17211 the smallest integer that is 296098044 that is divisible by both numbers.

Least Common Multiple (LCM) of 17204 and 17211 is 296098044.

LCM(17204,17211) = 296098044

LCM of 17204 and 17211

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

LCM of:
and

Least Common Multiple of 17204 and 17211

LCM of 17204 and 17211 is 296098044

Least common multiple can be found by multiplying the highest exponent prime factors of 17204 and 17211. First we will calculate the prime factors of 17204 and 17211.

Prime Factorization of 17204


2 17204
2 8602
11 4301
17 391
23 23
1

Prime factors of 17204 are 2, 11, 17,23. Prime factorization of 17204 in exponential form is:

17204 = 22×111×171×231

Prime Factorization of 17211


3 17211
5737 5737
1

Prime factors of 17211 are 3,5737. Prime factorization of 17211 in exponential form is:

17211 = 31×57371

Now multiplying the highest exponent prime factors to calculate the LCM of 17204 and 17211.

LCM(17204,17211) = 22×31×111×171×231×57371
LCM(17204,17211) = 296098044

Factors of 17204

List of positive integer factors of 17204 that divides 17204 without a remainder.

1, 2, 4, 11, 17, 22, 23, 34, 44, 46, 68, 92, 187, 253, 374, 391, 506, 748, 782, 1012, 1564, 4301, 8602, 17204

Factors of 17211

List of positive integer factors of 17211 that divides 17211 without a remainder.

1, 3, 5737, 17211

Least Common Multiple of 17204 and 17211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17204 and 17211, than apply into the LCM equation.

GCF(17204,17211) = 1
LCM(17204,17211) = ( 17204 × 17211) / 1
LCM(17204,17211) = 296098044 / 1
LCM(17204,17211) = 296098044

Properties of LCM 17204 and 17211

(i) The LCM of 17211 and 17204 is associative

LCM of 17204 and 17211 = LCM of 17211 and 17204

Related Least Common Multiples of 17204

Related Least Common Multiples of 17211

Frequently Asked Questions on LCM of 17204 and 17211

1. What is the LCM of 17204 and 17211?

Answer: LCM of 17204 and 17211 is 296098044.

2. What are the Factors of 17204?

Answer: Factors of 17204 are 1, 2, 4, 11, 17, 22, 23, 34, 44, 46, 68, 92, 187, 253, 374, 391, 506, 748, 782, 1012, 1564, 4301, 8602, 17204. There are 24 integers that are factors of 17204. The greatest factor of 17204 is 17204.

3. What are the Factors of 17211?

Answer: Factors of 17211 are 1, 3, 5737, 17211. There are 4 integers that are factors of 17211. The greatest factor of 17211 is 17211.

4. How to Find the LCM of 17204 and 17211?

Answer:

Least Common Multiple of 17204 and 17211 = 296098044

Step 1: Find the prime factorization of 17204

17204 = 2 x 2 x 11 x 17 x 23

Step 2: Find the prime factorization of 17211

17211 = 3 x 5737

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

LCM = 296098044 = 2 x 2 x 3 x 11 x 17 x 23 x 5737

Step 4: Therefore, the least common multiple of 17204 and 17211 is 296098044.