Least Common Multiple of 337 and 340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 337 and 340 the smallest integer that is 114580 that is divisible by both numbers.

Least Common Multiple (LCM) of 337 and 340 is 114580.

LCM(337,340) = 114580

LCM of 337 and 340

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

LCM of:
and

Least Common Multiple of 337 and 340

LCM of 337 and 340 is 114580

Least common multiple can be found by multiplying the highest exponent prime factors of 337 and 340. First we will calculate the prime factors of 337 and 340.

Prime Factorization of 337


337 337
1

Prime factors of 337 are 337. Prime factorization of 337 in exponential form is:

337 = 3371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 337 and 340.

LCM(337,340) = 22×51×171×3371
LCM(337,340) = 114580

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1, 337

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

Least Common Multiple of 337 and 340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 337 and 340, than apply into the LCM equation.

GCF(337,340) = 1
LCM(337,340) = ( 337 × 340) / 1
LCM(337,340) = 114580 / 1
LCM(337,340) = 114580

Properties of LCM 337 and 340

(i) The LCM of 340 and 337 is associative

LCM of 337 and 340 = LCM of 340 and 337

Related Least Common Multiples of 337

Related Least Common Multiples of 340

Frequently Asked Questions on LCM of 337 and 340

1. What is the LCM of 337 and 340?

Answer: LCM of 337 and 340 is 114580.

2. What are the Factors of 337?

Answer: Factors of 337 are 1, 337. There are 2 integers that are factors of 337. The greatest factor of 337 is 337.

3. 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.

4. How to Find the LCM of 337 and 340?

Answer:

Least Common Multiple of 337 and 340 = 114580

Step 1: Find the prime factorization of 337

337 = 337

Step 2: Find the prime factorization of 340

340 = 2 x 2 x 5 x 17

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

LCM = 114580 = 2 x 2 x 5 x 17 x 337

Step 4: Therefore, the least common multiple of 337 and 340 is 114580.