Least Common Multiple of 343 and 344

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 344 the smallest integer that is 117992 that is divisible by both numbers.

Least Common Multiple (LCM) of 343 and 344 is 117992.

LCM(343,344) = 117992

LCM of 343 and 344

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

LCM of:
and

Least Common Multiple of 343 and 344

LCM of 343 and 344 is 117992

Least common multiple can be found by multiplying the highest exponent prime factors of 343 and 344. First we will calculate the prime factors of 343 and 344.

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 344


2 344
2 172
2 86
43 43
1

Prime factors of 344 are 2,43. Prime factorization of 344 in exponential form is:

344 = 23×431

Now multiplying the highest exponent prime factors to calculate the LCM of 343 and 344.

LCM(343,344) = 23×73×431
LCM(343,344) = 117992

Factors of 343

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

1, 7, 49, 343

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Least Common Multiple of 343 and 344 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 344, than apply into the LCM equation.

GCF(343,344) = 1
LCM(343,344) = ( 343 × 344) / 1
LCM(343,344) = 117992 / 1
LCM(343,344) = 117992

Properties of LCM 343 and 344

(i) The LCM of 344 and 343 is associative

LCM of 343 and 344 = LCM of 344 and 343

Related Least Common Multiples of 343

Related Least Common Multiples of 344

Frequently Asked Questions on LCM of 343 and 344

1. What is the LCM of 343 and 344?

Answer: LCM of 343 and 344 is 117992.

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 344?

Answer: Factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344. There are 8 integers that are factors of 344. The greatest factor of 344 is 344.

4. How to Find the LCM of 343 and 344?

Answer:

Least Common Multiple of 343 and 344 = 117992

Step 1: Find the prime factorization of 343

343 = 7 x 7 x 7

Step 2: Find the prime factorization of 344

344 = 2 x 2 x 2 x 43

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

LCM = 117992 = 2 x 2 x 2 x 7 x 7 x 7 x 43

Step 4: Therefore, the least common multiple of 343 and 344 is 117992.