Least Common Multiple of 341 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 341 and 343 the smallest integer that is 116963 that is divisible by both numbers.

Least Common Multiple (LCM) of 341 and 343 is 116963.

LCM(341,343) = 116963

LCM of 341 and 343

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

LCM of:
and

Least Common Multiple of 341 and 343

LCM of 341 and 343 is 116963

Least common multiple can be found by multiplying the highest exponent prime factors of 341 and 343. First we will calculate the prime factors of 341 and 343.

Prime Factorization of 341


11 341
31 31
1

Prime factors of 341 are 11,31. Prime factorization of 341 in exponential form is:

341 = 111×311

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 341 and 343.

LCM(341,343) = 73×111×311
LCM(341,343) = 116963

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Factors of 343

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

1, 7, 49, 343

Least Common Multiple of 341 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 341 and 343, than apply into the LCM equation.

GCF(341,343) = 1
LCM(341,343) = ( 341 × 343) / 1
LCM(341,343) = 116963 / 1
LCM(341,343) = 116963

Properties of LCM 341 and 343

(i) The LCM of 343 and 341 is associative

LCM of 341 and 343 = LCM of 343 and 341

Related Least Common Multiples of 341

Related Least Common Multiples of 343

Frequently Asked Questions on LCM of 341 and 343

1. What is the LCM of 341 and 343?

Answer: LCM of 341 and 343 is 116963.

2. What are the Factors of 341?

Answer: Factors of 341 are 1, 11, 31, 341. There are 4 integers that are factors of 341. The greatest factor of 341 is 341.

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 341 and 343?

Answer:

Least Common Multiple of 341 and 343 = 116963

Step 1: Find the prime factorization of 341

341 = 11 x 31

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 = 116963 = 7 x 7 x 7 x 11 x 31

Step 4: Therefore, the least common multiple of 341 and 343 is 116963.