Least Common Multiple of 15258 and 15266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15258 and 15266 the smallest integer that is 116464314 that is divisible by both numbers.

Least Common Multiple (LCM) of 15258 and 15266 is 116464314.

LCM(15258,15266) = 116464314

LCM of 15258 and 15266

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

LCM of:
and

Least Common Multiple of 15258 and 15266

LCM of 15258 and 15266 is 116464314

Least common multiple can be found by multiplying the highest exponent prime factors of 15258 and 15266. First we will calculate the prime factors of 15258 and 15266.

Prime Factorization of 15258


2 15258
3 7629
2543 2543
1

Prime factors of 15258 are 2, 3,2543. Prime factorization of 15258 in exponential form is:

15258 = 21×31×25431

Prime Factorization of 15266


2 15266
17 7633
449 449
1

Prime factors of 15266 are 2, 17,449. Prime factorization of 15266 in exponential form is:

15266 = 21×171×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 15258 and 15266.

LCM(15258,15266) = 21×31×171×4491×25431
LCM(15258,15266) = 116464314

Factors of 15258

List of positive integer factors of 15258 that divides 15258 without a remainder.

1, 2, 3, 6, 2543, 5086, 7629, 15258

Factors of 15266

List of positive integer factors of 15266 that divides 15266 without a remainder.

1, 2, 17, 34, 449, 898, 7633, 15266

Least Common Multiple of 15258 and 15266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15258 and 15266, than apply into the LCM equation.

GCF(15258,15266) = 2
LCM(15258,15266) = ( 15258 × 15266) / 2
LCM(15258,15266) = 232928628 / 2
LCM(15258,15266) = 116464314

Properties of LCM 15258 and 15266

(i) The LCM of 15266 and 15258 is associative

LCM of 15258 and 15266 = LCM of 15266 and 15258

Related Least Common Multiples of 15258

Related Least Common Multiples of 15266

Frequently Asked Questions on LCM of 15258 and 15266

1. What is the LCM of 15258 and 15266?

Answer: LCM of 15258 and 15266 is 116464314.

2. What are the Factors of 15258?

Answer: Factors of 15258 are 1, 2, 3, 6, 2543, 5086, 7629, 15258. There are 8 integers that are factors of 15258. The greatest factor of 15258 is 15258.

3. What are the Factors of 15266?

Answer: Factors of 15266 are 1, 2, 17, 34, 449, 898, 7633, 15266. There are 8 integers that are factors of 15266. The greatest factor of 15266 is 15266.

4. How to Find the LCM of 15258 and 15266?

Answer:

Least Common Multiple of 15258 and 15266 = 116464314

Step 1: Find the prime factorization of 15258

15258 = 2 x 3 x 2543

Step 2: Find the prime factorization of 15266

15266 = 2 x 17 x 449

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

LCM = 116464314 = 2 x 3 x 17 x 449 x 2543

Step 4: Therefore, the least common multiple of 15258 and 15266 is 116464314.