Least Common Multiple of 342 and 348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 342 and 348 the smallest integer that is 19836 that is divisible by both numbers.

Least Common Multiple (LCM) of 342 and 348 is 19836.

LCM(342,348) = 19836

LCM of 342 and 348

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

LCM of:
and

Least Common Multiple of 342 and 348

LCM of 342 and 348 is 19836

Least common multiple can be found by multiplying the highest exponent prime factors of 342 and 348. First we will calculate the prime factors of 342 and 348.

Prime Factorization of 342


2 342
3 171
3 57
19 19
1

Prime factors of 342 are 2, 3,19. Prime factorization of 342 in exponential form is:

342 = 21×32×191

Prime Factorization of 348


2 348
2 174
3 87
29 29
1

Prime factors of 348 are 2, 3,29. Prime factorization of 348 in exponential form is:

348 = 22×31×291

Now multiplying the highest exponent prime factors to calculate the LCM of 342 and 348.

LCM(342,348) = 22×32×191×291
LCM(342,348) = 19836

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Least Common Multiple of 342 and 348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 342 and 348, than apply into the LCM equation.

GCF(342,348) = 6
LCM(342,348) = ( 342 × 348) / 6
LCM(342,348) = 119016 / 6
LCM(342,348) = 19836

Properties of LCM 342 and 348

(i) The LCM of 348 and 342 is associative

LCM of 342 and 348 = LCM of 348 and 342

Related Least Common Multiples of 342

Related Least Common Multiples of 348

Frequently Asked Questions on LCM of 342 and 348

1. What is the LCM of 342 and 348?

Answer: LCM of 342 and 348 is 19836.

2. What are the Factors of 342?

Answer: Factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342. There are 12 integers that are factors of 342. The greatest factor of 342 is 342.

3. What are the Factors of 348?

Answer: Factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348. There are 12 integers that are factors of 348. The greatest factor of 348 is 348.

4. How to Find the LCM of 342 and 348?

Answer:

Least Common Multiple of 342 and 348 = 19836

Step 1: Find the prime factorization of 342

342 = 2 x 3 x 3 x 19

Step 2: Find the prime factorization of 348

348 = 2 x 2 x 3 x 29

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

LCM = 19836 = 2 x 2 x 3 x 3 x 19 x 29

Step 4: Therefore, the least common multiple of 342 and 348 is 19836.