Least Common Multiple of 17229 and 17230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17229 and 17230 the smallest integer that is 296855670 that is divisible by both numbers.

Least Common Multiple (LCM) of 17229 and 17230 is 296855670.

LCM(17229,17230) = 296855670

LCM of 17229 and 17230

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

LCM of:
and

Least Common Multiple of 17229 and 17230

LCM of 17229 and 17230 is 296855670

Least common multiple can be found by multiplying the highest exponent prime factors of 17229 and 17230. First we will calculate the prime factors of 17229 and 17230.

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

Prime Factorization of 17230


2 17230
5 8615
1723 1723
1

Prime factors of 17230 are 2, 5,1723. Prime factorization of 17230 in exponential form is:

17230 = 21×51×17231

Now multiplying the highest exponent prime factors to calculate the LCM of 17229 and 17230.

LCM(17229,17230) = 21×31×51×17231×57431
LCM(17229,17230) = 296855670

Factors of 17229

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

1, 3, 5743, 17229

Factors of 17230

List of positive integer factors of 17230 that divides 17230 without a remainder.

1, 2, 5, 10, 1723, 3446, 8615, 17230

Least Common Multiple of 17229 and 17230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17229 and 17230, than apply into the LCM equation.

GCF(17229,17230) = 1
LCM(17229,17230) = ( 17229 × 17230) / 1
LCM(17229,17230) = 296855670 / 1
LCM(17229,17230) = 296855670

Properties of LCM 17229 and 17230

(i) The LCM of 17230 and 17229 is associative

LCM of 17229 and 17230 = LCM of 17230 and 17229

Related Least Common Multiples of 17229

Related Least Common Multiples of 17230

Frequently Asked Questions on LCM of 17229 and 17230

1. What is the LCM of 17229 and 17230?

Answer: LCM of 17229 and 17230 is 296855670.

2. 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.

3. What are the Factors of 17230?

Answer: Factors of 17230 are 1, 2, 5, 10, 1723, 3446, 8615, 17230. There are 8 integers that are factors of 17230. The greatest factor of 17230 is 17230.

4. How to Find the LCM of 17229 and 17230?

Answer:

Least Common Multiple of 17229 and 17230 = 296855670

Step 1: Find the prime factorization of 17229

17229 = 3 x 5743

Step 2: Find the prime factorization of 17230

17230 = 2 x 5 x 1723

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

LCM = 296855670 = 2 x 3 x 5 x 1723 x 5743

Step 4: Therefore, the least common multiple of 17229 and 17230 is 296855670.