Least Common Multiple of 15284 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 15284 and 15289 the smallest integer that is 233677076 that is divisible by both numbers.

Least Common Multiple (LCM) of 15284 and 15289 is 233677076.

LCM(15284,15289) = 233677076

LCM of 15284 and 15289

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

LCM of:
and

Least Common Multiple of 15284 and 15289

LCM of 15284 and 15289 is 233677076

Least common multiple can be found by multiplying the highest exponent prime factors of 15284 and 15289. First we will calculate the prime factors of 15284 and 15289.

Prime Factorization of 15284


2 15284
2 7642
3821 3821
1

Prime factors of 15284 are 2,3821. Prime factorization of 15284 in exponential form is:

15284 = 22×38211

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 15284 and 15289.

LCM(15284,15289) = 22×38211×152891
LCM(15284,15289) = 233677076

Factors of 15284

List of positive integer factors of 15284 that divides 15284 without a remainder.

1, 2, 4, 3821, 7642, 15284

Factors of 15289

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

1, 15289

Least Common Multiple of 15284 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 15284 and 15289, than apply into the LCM equation.

GCF(15284,15289) = 1
LCM(15284,15289) = ( 15284 × 15289) / 1
LCM(15284,15289) = 233677076 / 1
LCM(15284,15289) = 233677076

Properties of LCM 15284 and 15289

(i) The LCM of 15289 and 15284 is associative

LCM of 15284 and 15289 = LCM of 15289 and 15284

Related Least Common Multiples of 15284

Related Least Common Multiples of 15289

Frequently Asked Questions on LCM of 15284 and 15289

1. What is the LCM of 15284 and 15289?

Answer: LCM of 15284 and 15289 is 233677076.

2. What are the Factors of 15284?

Answer: Factors of 15284 are 1, 2, 4, 3821, 7642, 15284. There are 6 integers that are factors of 15284. The greatest factor of 15284 is 15284.

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 15284 and 15289?

Answer:

Least Common Multiple of 15284 and 15289 = 233677076

Step 1: Find the prime factorization of 15284

15284 = 2 x 2 x 3821

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 = 233677076 = 2 x 2 x 3821 x 15289

Step 4: Therefore, the least common multiple of 15284 and 15289 is 233677076.