Least Common Multiple of 340 and 341

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 341 the smallest integer that is 115940 that is divisible by both numbers.

Least Common Multiple (LCM) of 340 and 341 is 115940.

LCM(340,341) = 115940

LCM of 340 and 341

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

LCM of:
and

Least Common Multiple of 340 and 341

LCM of 340 and 341 is 115940

Least common multiple can be found by multiplying the highest exponent prime factors of 340 and 341. First we will calculate the prime factors of 340 and 341.

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 341


11 341
31 31
1

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

341 = 111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 340 and 341.

LCM(340,341) = 22×51×111×171×311
LCM(340,341) = 115940

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 341

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

1, 11, 31, 341

Least Common Multiple of 340 and 341 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 341, than apply into the LCM equation.

GCF(340,341) = 1
LCM(340,341) = ( 340 × 341) / 1
LCM(340,341) = 115940 / 1
LCM(340,341) = 115940

Properties of LCM 340 and 341

(i) The LCM of 341 and 340 is associative

LCM of 340 and 341 = LCM of 341 and 340

Related Least Common Multiples of 340

Related Least Common Multiples of 341

Frequently Asked Questions on LCM of 340 and 341

1. What is the LCM of 340 and 341?

Answer: LCM of 340 and 341 is 115940.

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 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.

4. How to Find the LCM of 340 and 341?

Answer:

Least Common Multiple of 340 and 341 = 115940

Step 1: Find the prime factorization of 340

340 = 2 x 2 x 5 x 17

Step 2: Find the prime factorization of 341

341 = 11 x 31

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

LCM = 115940 = 2 x 2 x 5 x 11 x 17 x 31

Step 4: Therefore, the least common multiple of 340 and 341 is 115940.