Least Common Multiple of 15342 and 15348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15342 and 15348 the smallest integer that is 39244836 that is divisible by both numbers.

Least Common Multiple (LCM) of 15342 and 15348 is 39244836.

LCM(15342,15348) = 39244836

LCM of 15342 and 15348

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

LCM of:
and

Least Common Multiple of 15342 and 15348

LCM of 15342 and 15348 is 39244836

Least common multiple can be found by multiplying the highest exponent prime factors of 15342 and 15348. First we will calculate the prime factors of 15342 and 15348.

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

Prime Factorization of 15348


2 15348
2 7674
3 3837
1279 1279
1

Prime factors of 15348 are 2, 3,1279. Prime factorization of 15348 in exponential form is:

15348 = 22×31×12791

Now multiplying the highest exponent prime factors to calculate the LCM of 15342 and 15348.

LCM(15342,15348) = 22×31×12791×25571
LCM(15342,15348) = 39244836

Factors of 15342

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

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

Factors of 15348

List of positive integer factors of 15348 that divides 15348 without a remainder.

1, 2, 3, 4, 6, 12, 1279, 2558, 3837, 5116, 7674, 15348

Least Common Multiple of 15342 and 15348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15342 and 15348, than apply into the LCM equation.

GCF(15342,15348) = 6
LCM(15342,15348) = ( 15342 × 15348) / 6
LCM(15342,15348) = 235469016 / 6
LCM(15342,15348) = 39244836

Properties of LCM 15342 and 15348

(i) The LCM of 15348 and 15342 is associative

LCM of 15342 and 15348 = LCM of 15348 and 15342

Related Least Common Multiples of 15342

Related Least Common Multiples of 15348

Frequently Asked Questions on LCM of 15342 and 15348

1. What is the LCM of 15342 and 15348?

Answer: LCM of 15342 and 15348 is 39244836.

2. 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.

3. What are the Factors of 15348?

Answer: Factors of 15348 are 1, 2, 3, 4, 6, 12, 1279, 2558, 3837, 5116, 7674, 15348. There are 12 integers that are factors of 15348. The greatest factor of 15348 is 15348.

4. How to Find the LCM of 15342 and 15348?

Answer:

Least Common Multiple of 15342 and 15348 = 39244836

Step 1: Find the prime factorization of 15342

15342 = 2 x 3 x 2557

Step 2: Find the prime factorization of 15348

15348 = 2 x 2 x 3 x 1279

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

LCM = 39244836 = 2 x 2 x 3 x 1279 x 2557

Step 4: Therefore, the least common multiple of 15342 and 15348 is 39244836.