Least Common Multiple of 337 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 337 and 343 the smallest integer that is 115591 that is divisible by both numbers.

Least Common Multiple (LCM) of 337 and 343 is 115591.

LCM(337,343) = 115591

LCM of 337 and 343

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

LCM of:
and

Least Common Multiple of 337 and 343

LCM of 337 and 343 is 115591

Least common multiple can be found by multiplying the highest exponent prime factors of 337 and 343. First we will calculate the prime factors of 337 and 343.

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 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 337 and 343.

LCM(337,343) = 73×3371
LCM(337,343) = 115591

Factors of 337

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

1, 337

Factors of 343

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

1, 7, 49, 343

Least Common Multiple of 337 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 337 and 343, than apply into the LCM equation.

GCF(337,343) = 1
LCM(337,343) = ( 337 × 343) / 1
LCM(337,343) = 115591 / 1
LCM(337,343) = 115591

Properties of LCM 337 and 343

(i) The LCM of 343 and 337 is associative

LCM of 337 and 343 = LCM of 343 and 337

Related Least Common Multiples of 337

Related Least Common Multiples of 343

Frequently Asked Questions on LCM of 337 and 343

1. What is the LCM of 337 and 343?

Answer: LCM of 337 and 343 is 115591.

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 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 337 and 343?

Answer:

Least Common Multiple of 337 and 343 = 115591

Step 1: Find the prime factorization of 337

337 = 337

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 = 115591 = 7 x 7 x 7 x 337

Step 4: Therefore, the least common multiple of 337 and 343 is 115591.