Least Common Multiple of 17225 and 17229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17225 and 17229 the smallest integer that is 296769525 that is divisible by both numbers.

Least Common Multiple (LCM) of 17225 and 17229 is 296769525.

LCM(17225,17229) = 296769525

LCM of 17225 and 17229

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

LCM of:
and

Least Common Multiple of 17225 and 17229

LCM of 17225 and 17229 is 296769525

Least common multiple can be found by multiplying the highest exponent prime factors of 17225 and 17229. First we will calculate the prime factors of 17225 and 17229.

Prime Factorization of 17225


5 17225
5 3445
13 689
53 53
1

Prime factors of 17225 are 5, 13,53. Prime factorization of 17225 in exponential form is:

17225 = 52×131×531

Prime Factorization of 17229


3 17229
5743 5743
1

Prime factors of 17229 are 3,5743. Prime factorization of 17229 in exponential form is:

17229 = 31×57431

Now multiplying the highest exponent prime factors to calculate the LCM of 17225 and 17229.

LCM(17225,17229) = 31×52×131×531×57431
LCM(17225,17229) = 296769525

Factors of 17225

List of positive integer factors of 17225 that divides 17225 without a remainder.

1, 5, 13, 25, 53, 65, 265, 325, 689, 1325, 3445, 17225

Factors of 17229

List of positive integer factors of 17229 that divides 17229 without a remainder.

1, 3, 5743, 17229

Least Common Multiple of 17225 and 17229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17225 and 17229, than apply into the LCM equation.

GCF(17225,17229) = 1
LCM(17225,17229) = ( 17225 × 17229) / 1
LCM(17225,17229) = 296769525 / 1
LCM(17225,17229) = 296769525

Properties of LCM 17225 and 17229

(i) The LCM of 17229 and 17225 is associative

LCM of 17225 and 17229 = LCM of 17229 and 17225

Related Least Common Multiples of 17225

Related Least Common Multiples of 17229

Frequently Asked Questions on LCM of 17225 and 17229

1. What is the LCM of 17225 and 17229?

Answer: LCM of 17225 and 17229 is 296769525.

2. What are the Factors of 17225?

Answer: Factors of 17225 are 1, 5, 13, 25, 53, 65, 265, 325, 689, 1325, 3445, 17225. There are 12 integers that are factors of 17225. The greatest factor of 17225 is 17225.

3. What are the Factors of 17229?

Answer: Factors of 17229 are 1, 3, 5743, 17229. There are 4 integers that are factors of 17229. The greatest factor of 17229 is 17229.

4. How to Find the LCM of 17225 and 17229?

Answer:

Least Common Multiple of 17225 and 17229 = 296769525

Step 1: Find the prime factorization of 17225

17225 = 5 x 5 x 13 x 53

Step 2: Find the prime factorization of 17229

17229 = 3 x 5743

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

LCM = 296769525 = 3 x 5 x 5 x 13 x 53 x 5743

Step 4: Therefore, the least common multiple of 17225 and 17229 is 296769525.