Least Common Multiple of 17298 and 17304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17298 and 17304 the smallest integer that is 49887432 that is divisible by both numbers.

Least Common Multiple (LCM) of 17298 and 17304 is 49887432.

LCM(17298,17304) = 49887432

LCM of 17298 and 17304

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

LCM of:
and

Least Common Multiple of 17298 and 17304

LCM of 17298 and 17304 is 49887432

Least common multiple can be found by multiplying the highest exponent prime factors of 17298 and 17304. First we will calculate the prime factors of 17298 and 17304.

Prime Factorization of 17298


2 17298
3 8649
3 2883
31 961
31 31
1

Prime factors of 17298 are 2, 3,31. Prime factorization of 17298 in exponential form is:

17298 = 21×32×312

Prime Factorization of 17304


2 17304
2 8652
2 4326
3 2163
7 721
103 103
1

Prime factors of 17304 are 2, 3, 7,103. Prime factorization of 17304 in exponential form is:

17304 = 23×31×71×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 17298 and 17304.

LCM(17298,17304) = 23×32×71×312×1031
LCM(17298,17304) = 49887432

Factors of 17298

List of positive integer factors of 17298 that divides 17298 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558, 961, 1922, 2883, 5766, 8649, 17298

Factors of 17304

List of positive integer factors of 17304 that divides 17304 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 103, 168, 206, 309, 412, 618, 721, 824, 1236, 1442, 2163, 2472, 2884, 4326, 5768, 8652, 17304

Least Common Multiple of 17298 and 17304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17298 and 17304, than apply into the LCM equation.

GCF(17298,17304) = 6
LCM(17298,17304) = ( 17298 × 17304) / 6
LCM(17298,17304) = 299324592 / 6
LCM(17298,17304) = 49887432

Properties of LCM 17298 and 17304

(i) The LCM of 17304 and 17298 is associative

LCM of 17298 and 17304 = LCM of 17304 and 17298

Related Least Common Multiples of 17298

Related Least Common Multiples of 17304

Frequently Asked Questions on LCM of 17298 and 17304

1. What is the LCM of 17298 and 17304?

Answer: LCM of 17298 and 17304 is 49887432.

2. What are the Factors of 17298?

Answer: Factors of 17298 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558, 961, 1922, 2883, 5766, 8649, 17298. There are 18 integers that are factors of 17298. The greatest factor of 17298 is 17298.

3. What are the Factors of 17304?

Answer: Factors of 17304 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 103, 168, 206, 309, 412, 618, 721, 824, 1236, 1442, 2163, 2472, 2884, 4326, 5768, 8652, 17304. There are 32 integers that are factors of 17304. The greatest factor of 17304 is 17304.

4. How to Find the LCM of 17298 and 17304?

Answer:

Least Common Multiple of 17298 and 17304 = 49887432

Step 1: Find the prime factorization of 17298

17298 = 2 x 3 x 3 x 31 x 31

Step 2: Find the prime factorization of 17304

17304 = 2 x 2 x 2 x 3 x 7 x 103

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

LCM = 49887432 = 2 x 2 x 2 x 3 x 3 x 7 x 31 x 31 x 103

Step 4: Therefore, the least common multiple of 17298 and 17304 is 49887432.