Least Common Multiple of 17303 and 17311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17303 and 17311 the smallest integer that is 299532233 that is divisible by both numbers.

Least Common Multiple (LCM) of 17303 and 17311 is 299532233.

LCM(17303,17311) = 299532233

LCM of 17303 and 17311

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

LCM of:
and

Least Common Multiple of 17303 and 17311

LCM of 17303 and 17311 is 299532233

Least common multiple can be found by multiplying the highest exponent prime factors of 17303 and 17311. First we will calculate the prime factors of 17303 and 17311.

Prime Factorization of 17303


11 17303
11 1573
11 143
13 13
1

Prime factors of 17303 are 11,13. Prime factorization of 17303 in exponential form is:

17303 = 113×131

Prime Factorization of 17311


7 17311
2473 2473
1

Prime factors of 17311 are 7,2473. Prime factorization of 17311 in exponential form is:

17311 = 71×24731

Now multiplying the highest exponent prime factors to calculate the LCM of 17303 and 17311.

LCM(17303,17311) = 71×113×131×24731
LCM(17303,17311) = 299532233

Factors of 17303

List of positive integer factors of 17303 that divides 17303 without a remainder.

1, 11, 13, 121, 143, 1331, 1573, 17303

Factors of 17311

List of positive integer factors of 17311 that divides 17311 without a remainder.

1, 7, 2473, 17311

Least Common Multiple of 17303 and 17311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17303 and 17311, than apply into the LCM equation.

GCF(17303,17311) = 1
LCM(17303,17311) = ( 17303 × 17311) / 1
LCM(17303,17311) = 299532233 / 1
LCM(17303,17311) = 299532233

Properties of LCM 17303 and 17311

(i) The LCM of 17311 and 17303 is associative

LCM of 17303 and 17311 = LCM of 17311 and 17303

Related Least Common Multiples of 17303

Related Least Common Multiples of 17311

Frequently Asked Questions on LCM of 17303 and 17311

1. What is the LCM of 17303 and 17311?

Answer: LCM of 17303 and 17311 is 299532233.

2. What are the Factors of 17303?

Answer: Factors of 17303 are 1, 11, 13, 121, 143, 1331, 1573, 17303. There are 8 integers that are factors of 17303. The greatest factor of 17303 is 17303.

3. What are the Factors of 17311?

Answer: Factors of 17311 are 1, 7, 2473, 17311. There are 4 integers that are factors of 17311. The greatest factor of 17311 is 17311.

4. How to Find the LCM of 17303 and 17311?

Answer:

Least Common Multiple of 17303 and 17311 = 299532233

Step 1: Find the prime factorization of 17303

17303 = 11 x 11 x 11 x 13

Step 2: Find the prime factorization of 17311

17311 = 7 x 2473

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

LCM = 299532233 = 7 x 11 x 11 x 11 x 13 x 2473

Step 4: Therefore, the least common multiple of 17303 and 17311 is 299532233.