Least Common Multiple of 17201 and 17204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17201 and 17204 the smallest integer that is 295926004 that is divisible by both numbers.

Least Common Multiple (LCM) of 17201 and 17204 is 295926004.

LCM(17201,17204) = 295926004

LCM of 17201 and 17204

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

LCM of:
and

Least Common Multiple of 17201 and 17204

LCM of 17201 and 17204 is 295926004

Least common multiple can be found by multiplying the highest exponent prime factors of 17201 and 17204. First we will calculate the prime factors of 17201 and 17204.

Prime Factorization of 17201


103 17201
167 167
1

Prime factors of 17201 are 103,167. Prime factorization of 17201 in exponential form is:

17201 = 1031×1671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 17201 and 17204.

LCM(17201,17204) = 22×111×171×231×1031×1671
LCM(17201,17204) = 295926004

Factors of 17201

List of positive integer factors of 17201 that divides 17201 without a remainder.

1, 103, 167, 17201

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

Least Common Multiple of 17201 and 17204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17201 and 17204, than apply into the LCM equation.

GCF(17201,17204) = 1
LCM(17201,17204) = ( 17201 × 17204) / 1
LCM(17201,17204) = 295926004 / 1
LCM(17201,17204) = 295926004

Properties of LCM 17201 and 17204

(i) The LCM of 17204 and 17201 is associative

LCM of 17201 and 17204 = LCM of 17204 and 17201

Related Least Common Multiples of 17201

Related Least Common Multiples of 17204

Frequently Asked Questions on LCM of 17201 and 17204

1. What is the LCM of 17201 and 17204?

Answer: LCM of 17201 and 17204 is 295926004.

2. What are the Factors of 17201?

Answer: Factors of 17201 are 1, 103, 167, 17201. There are 4 integers that are factors of 17201. The greatest factor of 17201 is 17201.

3. 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.

4. How to Find the LCM of 17201 and 17204?

Answer:

Least Common Multiple of 17201 and 17204 = 295926004

Step 1: Find the prime factorization of 17201

17201 = 103 x 167

Step 2: Find the prime factorization of 17204

17204 = 2 x 2 x 11 x 17 x 23

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

LCM = 295926004 = 2 x 2 x 11 x 17 x 23 x 103 x 167

Step 4: Therefore, the least common multiple of 17201 and 17204 is 295926004.