Least Common Multiple of 343 and 351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 343 and 351 the smallest integer that is 120393 that is divisible by both numbers.

Least Common Multiple (LCM) of 343 and 351 is 120393.

LCM(343,351) = 120393

LCM of 343 and 351

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

LCM of:
and

Least Common Multiple of 343 and 351

LCM of 343 and 351 is 120393

Least common multiple can be found by multiplying the highest exponent prime factors of 343 and 351. First we will calculate the prime factors of 343 and 351.

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

Prime Factorization of 351


3 351
3 117
3 39
13 13
1

Prime factors of 351 are 3,13. Prime factorization of 351 in exponential form is:

351 = 33×131

Now multiplying the highest exponent prime factors to calculate the LCM of 343 and 351.

LCM(343,351) = 33×73×131
LCM(343,351) = 120393

Factors of 343

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

1, 7, 49, 343

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Least Common Multiple of 343 and 351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 343 and 351, than apply into the LCM equation.

GCF(343,351) = 1
LCM(343,351) = ( 343 × 351) / 1
LCM(343,351) = 120393 / 1
LCM(343,351) = 120393

Properties of LCM 343 and 351

(i) The LCM of 351 and 343 is associative

LCM of 343 and 351 = LCM of 351 and 343

Related Least Common Multiples of 343

Related Least Common Multiples of 351

Frequently Asked Questions on LCM of 343 and 351

1. What is the LCM of 343 and 351?

Answer: LCM of 343 and 351 is 120393.

2. 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.

3. What are the Factors of 351?

Answer: Factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351. There are 8 integers that are factors of 351. The greatest factor of 351 is 351.

4. How to Find the LCM of 343 and 351?

Answer:

Least Common Multiple of 343 and 351 = 120393

Step 1: Find the prime factorization of 343

343 = 7 x 7 x 7

Step 2: Find the prime factorization of 351

351 = 3 x 3 x 3 x 13

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

LCM = 120393 = 3 x 3 x 3 x 7 x 7 x 7 x 13

Step 4: Therefore, the least common multiple of 343 and 351 is 120393.