Least Common Multiple of 15334 and 15341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15334 and 15341 the smallest integer that is 235238894 that is divisible by both numbers.

Least Common Multiple (LCM) of 15334 and 15341 is 235238894.

LCM(15334,15341) = 235238894

LCM of 15334 and 15341

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

LCM of:
and

Least Common Multiple of 15334 and 15341

LCM of 15334 and 15341 is 235238894

Least common multiple can be found by multiplying the highest exponent prime factors of 15334 and 15341. First we will calculate the prime factors of 15334 and 15341.

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

Prime Factorization of 15341


23 15341
23 667
29 29
1

Prime factors of 15341 are 23,29. Prime factorization of 15341 in exponential form is:

15341 = 232×291

Now multiplying the highest exponent prime factors to calculate the LCM of 15334 and 15341.

LCM(15334,15341) = 21×111×171×232×291×411
LCM(15334,15341) = 235238894

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

Factors of 15341

List of positive integer factors of 15341 that divides 15341 without a remainder.

1, 23, 29, 529, 667, 15341

Least Common Multiple of 15334 and 15341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15334 and 15341, than apply into the LCM equation.

GCF(15334,15341) = 1
LCM(15334,15341) = ( 15334 × 15341) / 1
LCM(15334,15341) = 235238894 / 1
LCM(15334,15341) = 235238894

Properties of LCM 15334 and 15341

(i) The LCM of 15341 and 15334 is associative

LCM of 15334 and 15341 = LCM of 15341 and 15334

Related Least Common Multiples of 15334

Related Least Common Multiples of 15341

Frequently Asked Questions on LCM of 15334 and 15341

1. What is the LCM of 15334 and 15341?

Answer: LCM of 15334 and 15341 is 235238894.

2. 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.

3. What are the Factors of 15341?

Answer: Factors of 15341 are 1, 23, 29, 529, 667, 15341. There are 6 integers that are factors of 15341. The greatest factor of 15341 is 15341.

4. How to Find the LCM of 15334 and 15341?

Answer:

Least Common Multiple of 15334 and 15341 = 235238894

Step 1: Find the prime factorization of 15334

15334 = 2 x 11 x 17 x 41

Step 2: Find the prime factorization of 15341

15341 = 23 x 23 x 29

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

LCM = 235238894 = 2 x 11 x 17 x 23 x 23 x 29 x 41

Step 4: Therefore, the least common multiple of 15334 and 15341 is 235238894.