Least Common Multiple of 17303 and 17307

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 17307 the smallest integer that is 299463021 that is divisible by both numbers.

Least Common Multiple (LCM) of 17303 and 17307 is 299463021.

LCM(17303,17307) = 299463021

LCM of 17303 and 17307

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

LCM of:
and

Least Common Multiple of 17303 and 17307

LCM of 17303 and 17307 is 299463021

Least common multiple can be found by multiplying the highest exponent prime factors of 17303 and 17307. First we will calculate the prime factors of 17303 and 17307.

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 17307


3 17307
3 5769
3 1923
641 641
1

Prime factors of 17307 are 3,641. Prime factorization of 17307 in exponential form is:

17307 = 33×6411

Now multiplying the highest exponent prime factors to calculate the LCM of 17303 and 17307.

LCM(17303,17307) = 33×113×131×6411
LCM(17303,17307) = 299463021

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 17307

List of positive integer factors of 17307 that divides 17307 without a remainder.

1, 3, 9, 27, 641, 1923, 5769, 17307

Least Common Multiple of 17303 and 17307 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 17307, than apply into the LCM equation.

GCF(17303,17307) = 1
LCM(17303,17307) = ( 17303 × 17307) / 1
LCM(17303,17307) = 299463021 / 1
LCM(17303,17307) = 299463021

Properties of LCM 17303 and 17307

(i) The LCM of 17307 and 17303 is associative

LCM of 17303 and 17307 = LCM of 17307 and 17303

Related Least Common Multiples of 17303

Related Least Common Multiples of 17307

Frequently Asked Questions on LCM of 17303 and 17307

1. What is the LCM of 17303 and 17307?

Answer: LCM of 17303 and 17307 is 299463021.

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 17307?

Answer: Factors of 17307 are 1, 3, 9, 27, 641, 1923, 5769, 17307. There are 8 integers that are factors of 17307. The greatest factor of 17307 is 17307.

4. How to Find the LCM of 17303 and 17307?

Answer:

Least Common Multiple of 17303 and 17307 = 299463021

Step 1: Find the prime factorization of 17303

17303 = 11 x 11 x 11 x 13

Step 2: Find the prime factorization of 17307

17307 = 3 x 3 x 3 x 641

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

LCM = 299463021 = 3 x 3 x 3 x 11 x 11 x 11 x 13 x 641

Step 4: Therefore, the least common multiple of 17303 and 17307 is 299463021.