Least Common Multiple of 335 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 335 and 343 the smallest integer that is 114905 that is divisible by both numbers.

Least Common Multiple (LCM) of 335 and 343 is 114905.

LCM(335,343) = 114905

LCM of 335 and 343

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

LCM of:
and

Least Common Multiple of 335 and 343

LCM of 335 and 343 is 114905

Least common multiple can be found by multiplying the highest exponent prime factors of 335 and 343. First we will calculate the prime factors of 335 and 343.

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 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 335 and 343.

LCM(335,343) = 51×73×671
LCM(335,343) = 114905

Factors of 335

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

1, 5, 67, 335

Factors of 343

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

1, 7, 49, 343

Least Common Multiple of 335 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 335 and 343, than apply into the LCM equation.

GCF(335,343) = 1
LCM(335,343) = ( 335 × 343) / 1
LCM(335,343) = 114905 / 1
LCM(335,343) = 114905

Properties of LCM 335 and 343

(i) The LCM of 343 and 335 is associative

LCM of 335 and 343 = LCM of 343 and 335

Related Least Common Multiples of 335

Related Least Common Multiples of 343

Frequently Asked Questions on LCM of 335 and 343

1. What is the LCM of 335 and 343?

Answer: LCM of 335 and 343 is 114905.

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 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 335 and 343?

Answer:

Least Common Multiple of 335 and 343 = 114905

Step 1: Find the prime factorization of 335

335 = 5 x 67

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 = 114905 = 5 x 7 x 7 x 7 x 67

Step 4: Therefore, the least common multiple of 335 and 343 is 114905.