Least Common Multiple of 337 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 337 and 341 the smallest integer that is 114917 that is divisible by both numbers.

Least Common Multiple (LCM) of 337 and 341 is 114917.

LCM(337,341) = 114917

LCM of 337 and 341

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

LCM of:
and

Least Common Multiple of 337 and 341

LCM of 337 and 341 is 114917

Least common multiple can be found by multiplying the highest exponent prime factors of 337 and 341. First we will calculate the prime factors of 337 and 341.

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 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 337 and 341.

LCM(337,341) = 111×311×3371
LCM(337,341) = 114917

Factors of 337

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

1, 337

Factors of 341

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

1, 11, 31, 341

Least Common Multiple of 337 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 337 and 341, than apply into the LCM equation.

GCF(337,341) = 1
LCM(337,341) = ( 337 × 341) / 1
LCM(337,341) = 114917 / 1
LCM(337,341) = 114917

Properties of LCM 337 and 341

(i) The LCM of 341 and 337 is associative

LCM of 337 and 341 = LCM of 341 and 337

Related Least Common Multiples of 337

Related Least Common Multiples of 341

Frequently Asked Questions on LCM of 337 and 341

1. What is the LCM of 337 and 341?

Answer: LCM of 337 and 341 is 114917.

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 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 337 and 341?

Answer:

Least Common Multiple of 337 and 341 = 114917

Step 1: Find the prime factorization of 337

337 = 337

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 = 114917 = 11 x 31 x 337

Step 4: Therefore, the least common multiple of 337 and 341 is 114917.