Least Common Multiple of 15326 and 15334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15326 and 15334 the smallest integer that is 117504442 that is divisible by both numbers.

Least Common Multiple (LCM) of 15326 and 15334 is 117504442.

LCM(15326,15334) = 117504442

LCM of 15326 and 15334

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

LCM of:
and

Least Common Multiple of 15326 and 15334

LCM of 15326 and 15334 is 117504442

Least common multiple can be found by multiplying the highest exponent prime factors of 15326 and 15334. First we will calculate the prime factors of 15326 and 15334.

Prime Factorization of 15326


2 15326
79 7663
97 97
1

Prime factors of 15326 are 2, 79,97. Prime factorization of 15326 in exponential form is:

15326 = 21×791×971

Prime Factorization of 15334


2 15334
11 7667
17 697
41 41
1

Prime factors of 15334 are 2, 11, 17,41. Prime factorization of 15334 in exponential form is:

15334 = 21×111×171×411

Now multiplying the highest exponent prime factors to calculate the LCM of 15326 and 15334.

LCM(15326,15334) = 21×111×171×411×791×971
LCM(15326,15334) = 117504442

Factors of 15326

List of positive integer factors of 15326 that divides 15326 without a remainder.

1, 2, 79, 97, 158, 194, 7663, 15326

Factors of 15334

List of positive integer factors of 15334 that divides 15334 without a remainder.

1, 2, 11, 17, 22, 34, 41, 82, 187, 374, 451, 697, 902, 1394, 7667, 15334

Least Common Multiple of 15326 and 15334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15326 and 15334, than apply into the LCM equation.

GCF(15326,15334) = 2
LCM(15326,15334) = ( 15326 × 15334) / 2
LCM(15326,15334) = 235008884 / 2
LCM(15326,15334) = 117504442

Properties of LCM 15326 and 15334

(i) The LCM of 15334 and 15326 is associative

LCM of 15326 and 15334 = LCM of 15334 and 15326

Related Least Common Multiples of 15326

Related Least Common Multiples of 15334

Frequently Asked Questions on LCM of 15326 and 15334

1. What is the LCM of 15326 and 15334?

Answer: LCM of 15326 and 15334 is 117504442.

2. What are the Factors of 15326?

Answer: Factors of 15326 are 1, 2, 79, 97, 158, 194, 7663, 15326. There are 8 integers that are factors of 15326. The greatest factor of 15326 is 15326.

3. What are the Factors of 15334?

Answer: Factors of 15334 are 1, 2, 11, 17, 22, 34, 41, 82, 187, 374, 451, 697, 902, 1394, 7667, 15334. There are 16 integers that are factors of 15334. The greatest factor of 15334 is 15334.

4. How to Find the LCM of 15326 and 15334?

Answer:

Least Common Multiple of 15326 and 15334 = 117504442

Step 1: Find the prime factorization of 15326

15326 = 2 x 79 x 97

Step 2: Find the prime factorization of 15334

15334 = 2 x 11 x 17 x 41

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

LCM = 117504442 = 2 x 11 x 17 x 41 x 79 x 97

Step 4: Therefore, the least common multiple of 15326 and 15334 is 117504442.