Least Common Multiple of 343 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 343 and 348 the smallest integer that is 119364 that is divisible by both numbers.

Least Common Multiple (LCM) of 343 and 348 is 119364.

LCM(343,348) = 119364

LCM of 343 and 348

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

LCM of:
and

Least Common Multiple of 343 and 348

LCM of 343 and 348 is 119364

Least common multiple can be found by multiplying the highest exponent prime factors of 343 and 348. First we will calculate the prime factors of 343 and 348.

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 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 343 and 348.

LCM(343,348) = 22×31×73×291
LCM(343,348) = 119364

Factors of 343

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

1, 7, 49, 343

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 343 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 343 and 348, than apply into the LCM equation.

GCF(343,348) = 1
LCM(343,348) = ( 343 × 348) / 1
LCM(343,348) = 119364 / 1
LCM(343,348) = 119364

Properties of LCM 343 and 348

(i) The LCM of 348 and 343 is associative

LCM of 343 and 348 = LCM of 348 and 343

Related Least Common Multiples of 343

Related Least Common Multiples of 348

Frequently Asked Questions on LCM of 343 and 348

1. What is the LCM of 343 and 348?

Answer: LCM of 343 and 348 is 119364.

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 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 343 and 348?

Answer:

Least Common Multiple of 343 and 348 = 119364

Step 1: Find the prime factorization of 343

343 = 7 x 7 x 7

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 = 119364 = 2 x 2 x 3 x 7 x 7 x 7 x 29

Step 4: Therefore, the least common multiple of 343 and 348 is 119364.