Least Common Multiple of 335 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 335 and 340 the smallest integer that is 22780 that is divisible by both numbers.

Least Common Multiple (LCM) of 335 and 340 is 22780.

LCM(335,340) = 22780

LCM of 335 and 340

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

LCM of:
and

Least Common Multiple of 335 and 340

LCM of 335 and 340 is 22780

Least common multiple can be found by multiplying the highest exponent prime factors of 335 and 340. First we will calculate the prime factors of 335 and 340.

Prime Factorization of 335


5 335
67 67
1

Prime factors of 335 are 5,67. Prime factorization of 335 in exponential form is:

335 = 51×671

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 335 and 340.

LCM(335,340) = 22×51×171×671
LCM(335,340) = 22780

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1, 5, 67, 335

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 335 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 335 and 340, than apply into the LCM equation.

GCF(335,340) = 5
LCM(335,340) = ( 335 × 340) / 5
LCM(335,340) = 113900 / 5
LCM(335,340) = 22780

Properties of LCM 335 and 340

(i) The LCM of 340 and 335 is associative

LCM of 335 and 340 = LCM of 340 and 335

Related Least Common Multiples of 335

Related Least Common Multiples of 340

Frequently Asked Questions on LCM of 335 and 340

1. What is the LCM of 335 and 340?

Answer: LCM of 335 and 340 is 22780.

2. What are the Factors of 335?

Answer: Factors of 335 are 1, 5, 67, 335. There are 4 integers that are factors of 335. The greatest factor of 335 is 335.

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 335 and 340?

Answer:

Least Common Multiple of 335 and 340 = 22780

Step 1: Find the prime factorization of 335

335 = 5 x 67

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 = 22780 = 2 x 2 x 5 x 17 x 67

Step 4: Therefore, the least common multiple of 335 and 340 is 22780.