Least Common Multiple of 15335 and 15343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15335 and 15343 the smallest integer that is 235284905 that is divisible by both numbers.

Least Common Multiple (LCM) of 15335 and 15343 is 235284905.

LCM(15335,15343) = 235284905

LCM of 15335 and 15343

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

LCM of:
and

Least Common Multiple of 15335 and 15343

LCM of 15335 and 15343 is 235284905

Least common multiple can be found by multiplying the highest exponent prime factors of 15335 and 15343. First we will calculate the prime factors of 15335 and 15343.

Prime Factorization of 15335


5 15335
3067 3067
1

Prime factors of 15335 are 5,3067. Prime factorization of 15335 in exponential form is:

15335 = 51×30671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 15335 and 15343.

LCM(15335,15343) = 51×671×2291×30671
LCM(15335,15343) = 235284905

Factors of 15335

List of positive integer factors of 15335 that divides 15335 without a remainder.

1, 5, 3067, 15335

Factors of 15343

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

1, 67, 229, 15343

Least Common Multiple of 15335 and 15343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15335 and 15343, than apply into the LCM equation.

GCF(15335,15343) = 1
LCM(15335,15343) = ( 15335 × 15343) / 1
LCM(15335,15343) = 235284905 / 1
LCM(15335,15343) = 235284905

Properties of LCM 15335 and 15343

(i) The LCM of 15343 and 15335 is associative

LCM of 15335 and 15343 = LCM of 15343 and 15335

Related Least Common Multiples of 15335

Related Least Common Multiples of 15343

Frequently Asked Questions on LCM of 15335 and 15343

1. What is the LCM of 15335 and 15343?

Answer: LCM of 15335 and 15343 is 235284905.

2. What are the Factors of 15335?

Answer: Factors of 15335 are 1, 5, 3067, 15335. There are 4 integers that are factors of 15335. The greatest factor of 15335 is 15335.

3. 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.

4. How to Find the LCM of 15335 and 15343?

Answer:

Least Common Multiple of 15335 and 15343 = 235284905

Step 1: Find the prime factorization of 15335

15335 = 5 x 3067

Step 2: Find the prime factorization of 15343

15343 = 67 x 229

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

LCM = 235284905 = 5 x 67 x 229 x 3067

Step 4: Therefore, the least common multiple of 15335 and 15343 is 235284905.