Least Common Multiple of 15329 and 15337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15329 and 15337 the smallest integer that is 235100873 that is divisible by both numbers.

Least Common Multiple (LCM) of 15329 and 15337 is 235100873.

LCM(15329,15337) = 235100873

LCM of 15329 and 15337

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

LCM of:
and

Least Common Multiple of 15329 and 15337

LCM of 15329 and 15337 is 235100873

Least common multiple can be found by multiplying the highest exponent prime factors of 15329 and 15337. First we will calculate the prime factors of 15329 and 15337.

Prime Factorization of 15329


15329 15329
1

Prime factors of 15329 are 15329. Prime factorization of 15329 in exponential form is:

15329 = 153291

Prime Factorization of 15337


7 15337
7 2191
313 313
1

Prime factors of 15337 are 7,313. Prime factorization of 15337 in exponential form is:

15337 = 72×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 15329 and 15337.

LCM(15329,15337) = 72×3131×153291
LCM(15329,15337) = 235100873

Factors of 15329

List of positive integer factors of 15329 that divides 15329 without a remainder.

1, 15329

Factors of 15337

List of positive integer factors of 15337 that divides 15337 without a remainder.

1, 7, 49, 313, 2191, 15337

Least Common Multiple of 15329 and 15337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15329 and 15337, than apply into the LCM equation.

GCF(15329,15337) = 1
LCM(15329,15337) = ( 15329 × 15337) / 1
LCM(15329,15337) = 235100873 / 1
LCM(15329,15337) = 235100873

Properties of LCM 15329 and 15337

(i) The LCM of 15337 and 15329 is associative

LCM of 15329 and 15337 = LCM of 15337 and 15329

Related Least Common Multiples of 15329

Related Least Common Multiples of 15337

Frequently Asked Questions on LCM of 15329 and 15337

1. What is the LCM of 15329 and 15337?

Answer: LCM of 15329 and 15337 is 235100873.

2. What are the Factors of 15329?

Answer: Factors of 15329 are 1, 15329. There are 2 integers that are factors of 15329. The greatest factor of 15329 is 15329.

3. What are the Factors of 15337?

Answer: Factors of 15337 are 1, 7, 49, 313, 2191, 15337. There are 6 integers that are factors of 15337. The greatest factor of 15337 is 15337.

4. How to Find the LCM of 15329 and 15337?

Answer:

Least Common Multiple of 15329 and 15337 = 235100873

Step 1: Find the prime factorization of 15329

15329 = 15329

Step 2: Find the prime factorization of 15337

15337 = 7 x 7 x 313

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

LCM = 235100873 = 7 x 7 x 313 x 15329

Step 4: Therefore, the least common multiple of 15329 and 15337 is 235100873.