Least Common Multiple of 340 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 340 and 343 the smallest integer that is 116620 that is divisible by both numbers.

Least Common Multiple (LCM) of 340 and 343 is 116620.

LCM(340,343) = 116620

LCM of 340 and 343

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

LCM of:
and

Least Common Multiple of 340 and 343

LCM of 340 and 343 is 116620

Least common multiple can be found by multiplying the highest exponent prime factors of 340 and 343. First we will calculate the prime factors of 340 and 343.

Prime Factorization of 340


2 340
2 170
5 85
17 17
1

Prime factors of 340 are 2, 5,17. Prime factorization of 340 in exponential form is:

340 = 22×51×171

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 340 and 343.

LCM(340,343) = 22×51×73×171
LCM(340,343) = 116620

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Factors of 343

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

1, 7, 49, 343

Least Common Multiple of 340 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 340 and 343, than apply into the LCM equation.

GCF(340,343) = 1
LCM(340,343) = ( 340 × 343) / 1
LCM(340,343) = 116620 / 1
LCM(340,343) = 116620

Properties of LCM 340 and 343

(i) The LCM of 343 and 340 is associative

LCM of 340 and 343 = LCM of 343 and 340

Related Least Common Multiples of 340

Related Least Common Multiples of 343

Frequently Asked Questions on LCM of 340 and 343

1. What is the LCM of 340 and 343?

Answer: LCM of 340 and 343 is 116620.

2. What are the Factors of 340?

Answer: Factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340. There are 12 integers that are factors of 340. The greatest factor of 340 is 340.

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 340 and 343?

Answer:

Least Common Multiple of 340 and 343 = 116620

Step 1: Find the prime factorization of 340

340 = 2 x 2 x 5 x 17

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 = 116620 = 2 x 2 x 5 x 7 x 7 x 7 x 17

Step 4: Therefore, the least common multiple of 340 and 343 is 116620.