Least Common Multiple of 17230 and 17237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17230 and 17237 the smallest integer that is 296993510 that is divisible by both numbers.

Least Common Multiple (LCM) of 17230 and 17237 is 296993510.

LCM(17230,17237) = 296993510

LCM of 17230 and 17237

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

LCM of:
and

Least Common Multiple of 17230 and 17237

LCM of 17230 and 17237 is 296993510

Least common multiple can be found by multiplying the highest exponent prime factors of 17230 and 17237. First we will calculate the prime factors of 17230 and 17237.

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

Prime Factorization of 17237


11 17237
1567 1567
1

Prime factors of 17237 are 11,1567. Prime factorization of 17237 in exponential form is:

17237 = 111×15671

Now multiplying the highest exponent prime factors to calculate the LCM of 17230 and 17237.

LCM(17230,17237) = 21×51×111×15671×17231
LCM(17230,17237) = 296993510

Factors of 17230

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

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

Factors of 17237

List of positive integer factors of 17237 that divides 17237 without a remainder.

1, 11, 1567, 17237

Least Common Multiple of 17230 and 17237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17230 and 17237, than apply into the LCM equation.

GCF(17230,17237) = 1
LCM(17230,17237) = ( 17230 × 17237) / 1
LCM(17230,17237) = 296993510 / 1
LCM(17230,17237) = 296993510

Properties of LCM 17230 and 17237

(i) The LCM of 17237 and 17230 is associative

LCM of 17230 and 17237 = LCM of 17237 and 17230

Related Least Common Multiples of 17230

Related Least Common Multiples of 17237

Frequently Asked Questions on LCM of 17230 and 17237

1. What is the LCM of 17230 and 17237?

Answer: LCM of 17230 and 17237 is 296993510.

2. 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.

3. What are the Factors of 17237?

Answer: Factors of 17237 are 1, 11, 1567, 17237. There are 4 integers that are factors of 17237. The greatest factor of 17237 is 17237.

4. How to Find the LCM of 17230 and 17237?

Answer:

Least Common Multiple of 17230 and 17237 = 296993510

Step 1: Find the prime factorization of 17230

17230 = 2 x 5 x 1723

Step 2: Find the prime factorization of 17237

17237 = 11 x 1567

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

LCM = 296993510 = 2 x 5 x 11 x 1567 x 1723

Step 4: Therefore, the least common multiple of 17230 and 17237 is 296993510.