Least Common Multiple of 15343 and 15349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15343 and 15349 the smallest integer that is 235499707 that is divisible by both numbers.

Least Common Multiple (LCM) of 15343 and 15349 is 235499707.

LCM(15343,15349) = 235499707

LCM of 15343 and 15349

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

LCM of:
and

Least Common Multiple of 15343 and 15349

LCM of 15343 and 15349 is 235499707

Least common multiple can be found by multiplying the highest exponent prime factors of 15343 and 15349. First we will calculate the prime factors of 15343 and 15349.

Prime Factorization of 15343


67 15343
229 229
1

Prime factors of 15343 are 67,229. Prime factorization of 15343 in exponential form is:

15343 = 671×2291

Prime Factorization of 15349


15349 15349
1

Prime factors of 15349 are 15349. Prime factorization of 15349 in exponential form is:

15349 = 153491

Now multiplying the highest exponent prime factors to calculate the LCM of 15343 and 15349.

LCM(15343,15349) = 671×2291×153491
LCM(15343,15349) = 235499707

Factors of 15343

List of positive integer factors of 15343 that divides 15343 without a remainder.

1, 67, 229, 15343

Factors of 15349

List of positive integer factors of 15349 that divides 15349 without a remainder.

1, 15349

Least Common Multiple of 15343 and 15349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15343 and 15349, than apply into the LCM equation.

GCF(15343,15349) = 1
LCM(15343,15349) = ( 15343 × 15349) / 1
LCM(15343,15349) = 235499707 / 1
LCM(15343,15349) = 235499707

Properties of LCM 15343 and 15349

(i) The LCM of 15349 and 15343 is associative

LCM of 15343 and 15349 = LCM of 15349 and 15343

Related Least Common Multiples of 15343

Related Least Common Multiples of 15349

Frequently Asked Questions on LCM of 15343 and 15349

1. What is the LCM of 15343 and 15349?

Answer: LCM of 15343 and 15349 is 235499707.

2. What are the Factors of 15343?

Answer: Factors of 15343 are 1, 67, 229, 15343. There are 4 integers that are factors of 15343. The greatest factor of 15343 is 15343.

3. What are the Factors of 15349?

Answer: Factors of 15349 are 1, 15349. There are 2 integers that are factors of 15349. The greatest factor of 15349 is 15349.

4. How to Find the LCM of 15343 and 15349?

Answer:

Least Common Multiple of 15343 and 15349 = 235499707

Step 1: Find the prime factorization of 15343

15343 = 67 x 229

Step 2: Find the prime factorization of 15349

15349 = 15349

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

LCM = 235499707 = 67 x 229 x 15349

Step 4: Therefore, the least common multiple of 15343 and 15349 is 235499707.