Least Common Multiple of 342 and 343

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 343 the smallest integer that is 117306 that is divisible by both numbers.

Least Common Multiple (LCM) of 342 and 343 is 117306.

LCM(342,343) = 117306

LCM of 342 and 343

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

LCM of:
and

Least Common Multiple of 342 and 343

LCM of 342 and 343 is 117306

Least common multiple can be found by multiplying the highest exponent prime factors of 342 and 343. First we will calculate the prime factors of 342 and 343.

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 343


7 343
7 49
7 7
1

Prime factors of 343 are 7. Prime factorization of 343 in exponential form is:

343 = 73

Now multiplying the highest exponent prime factors to calculate the LCM of 342 and 343.

LCM(342,343) = 21×32×73×191
LCM(342,343) = 117306

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 343

List of positive integer factors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Least Common Multiple of 342 and 343 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 343, than apply into the LCM equation.

GCF(342,343) = 1
LCM(342,343) = ( 342 × 343) / 1
LCM(342,343) = 117306 / 1
LCM(342,343) = 117306

Properties of LCM 342 and 343

(i) The LCM of 343 and 342 is associative

LCM of 342 and 343 = LCM of 343 and 342

Related Least Common Multiples of 342

Related Least Common Multiples of 343

Frequently Asked Questions on LCM of 342 and 343

1. What is the LCM of 342 and 343?

Answer: LCM of 342 and 343 is 117306.

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 343?

Answer: Factors of 343 are 1, 7, 49, 343. There are 4 integers that are factors of 343. The greatest factor of 343 is 343.

4. How to Find the LCM of 342 and 343?

Answer:

Least Common Multiple of 342 and 343 = 117306

Step 1: Find the prime factorization of 342

342 = 2 x 3 x 3 x 19

Step 2: Find the prime factorization of 343

343 = 7 x 7 x 7

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

LCM = 117306 = 2 x 3 x 3 x 7 x 7 x 7 x 19

Step 4: Therefore, the least common multiple of 342 and 343 is 117306.