Least Common Multiple of 15338 and 15342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15338 and 15342 the smallest integer that is 117657798 that is divisible by both numbers.

Least Common Multiple (LCM) of 15338 and 15342 is 117657798.

LCM(15338,15342) = 117657798

LCM of 15338 and 15342

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

LCM of:
and

Least Common Multiple of 15338 and 15342

LCM of 15338 and 15342 is 117657798

Least common multiple can be found by multiplying the highest exponent prime factors of 15338 and 15342. First we will calculate the prime factors of 15338 and 15342.

Prime Factorization of 15338


2 15338
7669 7669
1

Prime factors of 15338 are 2,7669. Prime factorization of 15338 in exponential form is:

15338 = 21×76691

Prime Factorization of 15342


2 15342
3 7671
2557 2557
1

Prime factors of 15342 are 2, 3,2557. Prime factorization of 15342 in exponential form is:

15342 = 21×31×25571

Now multiplying the highest exponent prime factors to calculate the LCM of 15338 and 15342.

LCM(15338,15342) = 21×31×25571×76691
LCM(15338,15342) = 117657798

Factors of 15338

List of positive integer factors of 15338 that divides 15338 without a remainder.

1, 2, 7669, 15338

Factors of 15342

List of positive integer factors of 15342 that divides 15342 without a remainder.

1, 2, 3, 6, 2557, 5114, 7671, 15342

Least Common Multiple of 15338 and 15342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15338 and 15342, than apply into the LCM equation.

GCF(15338,15342) = 2
LCM(15338,15342) = ( 15338 × 15342) / 2
LCM(15338,15342) = 235315596 / 2
LCM(15338,15342) = 117657798

Properties of LCM 15338 and 15342

(i) The LCM of 15342 and 15338 is associative

LCM of 15338 and 15342 = LCM of 15342 and 15338

Related Least Common Multiples of 15338

Related Least Common Multiples of 15342

Frequently Asked Questions on LCM of 15338 and 15342

1. What is the LCM of 15338 and 15342?

Answer: LCM of 15338 and 15342 is 117657798.

2. What are the Factors of 15338?

Answer: Factors of 15338 are 1, 2, 7669, 15338. There are 4 integers that are factors of 15338. The greatest factor of 15338 is 15338.

3. What are the Factors of 15342?

Answer: Factors of 15342 are 1, 2, 3, 6, 2557, 5114, 7671, 15342. There are 8 integers that are factors of 15342. The greatest factor of 15342 is 15342.

4. How to Find the LCM of 15338 and 15342?

Answer:

Least Common Multiple of 15338 and 15342 = 117657798

Step 1: Find the prime factorization of 15338

15338 = 2 x 7669

Step 2: Find the prime factorization of 15342

15342 = 2 x 3 x 2557

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

LCM = 117657798 = 2 x 3 x 2557 x 7669

Step 4: Therefore, the least common multiple of 15338 and 15342 is 117657798.