Least Common Multiple of 15328 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 15328 and 15334 the smallest integer that is 117519776 that is divisible by both numbers.

Least Common Multiple (LCM) of 15328 and 15334 is 117519776.

LCM(15328,15334) = 117519776

LCM of 15328 and 15334

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

LCM of:
and

Least Common Multiple of 15328 and 15334

LCM of 15328 and 15334 is 117519776

Least common multiple can be found by multiplying the highest exponent prime factors of 15328 and 15334. First we will calculate the prime factors of 15328 and 15334.

Prime Factorization of 15328


2 15328
2 7664
2 3832
2 1916
2 958
479 479
1

Prime factors of 15328 are 2,479. Prime factorization of 15328 in exponential form is:

15328 = 25×4791

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 15328 and 15334.

LCM(15328,15334) = 25×111×171×411×4791
LCM(15328,15334) = 117519776

Factors of 15328

List of positive integer factors of 15328 that divides 15328 without a remainder.

1, 2, 4, 8, 16, 32, 479, 958, 1916, 3832, 7664, 15328

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 15328 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 15328 and 15334, than apply into the LCM equation.

GCF(15328,15334) = 2
LCM(15328,15334) = ( 15328 × 15334) / 2
LCM(15328,15334) = 235039552 / 2
LCM(15328,15334) = 117519776

Properties of LCM 15328 and 15334

(i) The LCM of 15334 and 15328 is associative

LCM of 15328 and 15334 = LCM of 15334 and 15328

Related Least Common Multiples of 15328

Related Least Common Multiples of 15334

Frequently Asked Questions on LCM of 15328 and 15334

1. What is the LCM of 15328 and 15334?

Answer: LCM of 15328 and 15334 is 117519776.

2. What are the Factors of 15328?

Answer: Factors of 15328 are 1, 2, 4, 8, 16, 32, 479, 958, 1916, 3832, 7664, 15328. There are 12 integers that are factors of 15328. The greatest factor of 15328 is 15328.

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 15328 and 15334?

Answer:

Least Common Multiple of 15328 and 15334 = 117519776

Step 1: Find the prime factorization of 15328

15328 = 2 x 2 x 2 x 2 x 2 x 479

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 = 117519776 = 2 x 2 x 2 x 2 x 2 x 11 x 17 x 41 x 479

Step 4: Therefore, the least common multiple of 15328 and 15334 is 117519776.