Least Common Multiple of 15283 and 15289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 15283 and 15289 the smallest integer that is 233661787 that is divisible by both numbers.

Least Common Multiple (LCM) of 15283 and 15289 is 233661787.

LCM(15283,15289) = 233661787

LCM of 15283 and 15289

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

LCM of:
and

Least Common Multiple of 15283 and 15289

LCM of 15283 and 15289 is 233661787

Least common multiple can be found by multiplying the highest exponent prime factors of 15283 and 15289. First we will calculate the prime factors of 15283 and 15289.

Prime Factorization of 15283


17 15283
29 899
31 31
1

Prime factors of 15283 are 17, 29,31. Prime factorization of 15283 in exponential form is:

15283 = 171×291×311

Prime Factorization of 15289


15289 15289
1

Prime factors of 15289 are 15289. Prime factorization of 15289 in exponential form is:

15289 = 152891

Now multiplying the highest exponent prime factors to calculate the LCM of 15283 and 15289.

LCM(15283,15289) = 171×291×311×152891
LCM(15283,15289) = 233661787

Factors of 15283

List of positive integer factors of 15283 that divides 15283 without a remainder.

1, 17, 29, 31, 493, 527, 899, 15283

Factors of 15289

List of positive integer factors of 15289 that divides 15289 without a remainder.

1, 15289

Least Common Multiple of 15283 and 15289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15283 and 15289, than apply into the LCM equation.

GCF(15283,15289) = 1
LCM(15283,15289) = ( 15283 × 15289) / 1
LCM(15283,15289) = 233661787 / 1
LCM(15283,15289) = 233661787

Properties of LCM 15283 and 15289

(i) The LCM of 15289 and 15283 is associative

LCM of 15283 and 15289 = LCM of 15289 and 15283

Frequently Asked Questions on LCM of 15283 and 15289

1. What is the LCM of 15283 and 15289?

Answer: LCM of 15283 and 15289 is 233661787.

2. What are the Factors of 15283?

Answer: Factors of 15283 are 1, 17, 29, 31, 493, 527, 899, 15283. There are 8 integers that are factors of 15283. The greatest factor of 15283 is 15283.

3. What are the Factors of 15289?

Answer: Factors of 15289 are 1, 15289. There are 2 integers that are factors of 15289. The greatest factor of 15289 is 15289.

4. How to Find the LCM of 15283 and 15289?

Answer:

Least Common Multiple of 15283 and 15289 = 233661787

Step 1: Find the prime factorization of 15283

15283 = 17 x 29 x 31

Step 2: Find the prime factorization of 15289

15289 = 15289

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

LCM = 233661787 = 17 x 29 x 31 x 15289

Step 4: Therefore, the least common multiple of 15283 and 15289 is 233661787.