Least Common Multiple of 17204 and 17210

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 17210 the smallest integer that is 148040420 that is divisible by both numbers.

Least Common Multiple (LCM) of 17204 and 17210 is 148040420.

LCM(17204,17210) = 148040420

LCM of 17204 and 17210

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

LCM of:
and

Least Common Multiple of 17204 and 17210

LCM of 17204 and 17210 is 148040420

Least common multiple can be found by multiplying the highest exponent prime factors of 17204 and 17210. First we will calculate the prime factors of 17204 and 17210.

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 17210


2 17210
5 8605
1721 1721
1

Prime factors of 17210 are 2, 5,1721. Prime factorization of 17210 in exponential form is:

17210 = 21×51×17211

Now multiplying the highest exponent prime factors to calculate the LCM of 17204 and 17210.

LCM(17204,17210) = 22×51×111×171×231×17211
LCM(17204,17210) = 148040420

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 17210

List of positive integer factors of 17210 that divides 17210 without a remainder.

1, 2, 5, 10, 1721, 3442, 8605, 17210

Least Common Multiple of 17204 and 17210 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 17210, than apply into the LCM equation.

GCF(17204,17210) = 2
LCM(17204,17210) = ( 17204 × 17210) / 2
LCM(17204,17210) = 296080840 / 2
LCM(17204,17210) = 148040420

Properties of LCM 17204 and 17210

(i) The LCM of 17210 and 17204 is associative

LCM of 17204 and 17210 = LCM of 17210 and 17204

Related Least Common Multiples of 17204

Related Least Common Multiples of 17210

Frequently Asked Questions on LCM of 17204 and 17210

1. What is the LCM of 17204 and 17210?

Answer: LCM of 17204 and 17210 is 148040420.

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 17210?

Answer: Factors of 17210 are 1, 2, 5, 10, 1721, 3442, 8605, 17210. There are 8 integers that are factors of 17210. The greatest factor of 17210 is 17210.

4. How to Find the LCM of 17204 and 17210?

Answer:

Least Common Multiple of 17204 and 17210 = 148040420

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 17210

17210 = 2 x 5 x 1721

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

LCM = 148040420 = 2 x 2 x 5 x 11 x 17 x 23 x 1721

Step 4: Therefore, the least common multiple of 17204 and 17210 is 148040420.