Least Common Multiple of 337 and 345

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 345 the smallest integer that is 116265 that is divisible by both numbers.

Least Common Multiple (LCM) of 337 and 345 is 116265.

LCM(337,345) = 116265

LCM of 337 and 345

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

LCM of:
and

Least Common Multiple of 337 and 345

LCM of 337 and 345 is 116265

Least common multiple can be found by multiplying the highest exponent prime factors of 337 and 345. First we will calculate the prime factors of 337 and 345.

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 345


3 345
5 115
23 23
1

Prime factors of 345 are 3, 5,23. Prime factorization of 345 in exponential form is:

345 = 31×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 337 and 345.

LCM(337,345) = 31×51×231×3371
LCM(337,345) = 116265

Factors of 337

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

1, 337

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Least Common Multiple of 337 and 345 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 345, than apply into the LCM equation.

GCF(337,345) = 1
LCM(337,345) = ( 337 × 345) / 1
LCM(337,345) = 116265 / 1
LCM(337,345) = 116265

Properties of LCM 337 and 345

(i) The LCM of 345 and 337 is associative

LCM of 337 and 345 = LCM of 345 and 337

Related Least Common Multiples of 337

Related Least Common Multiples of 345

Frequently Asked Questions on LCM of 337 and 345

1. What is the LCM of 337 and 345?

Answer: LCM of 337 and 345 is 116265.

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 345?

Answer: Factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345. There are 8 integers that are factors of 345. The greatest factor of 345 is 345.

4. How to Find the LCM of 337 and 345?

Answer:

Least Common Multiple of 337 and 345 = 116265

Step 1: Find the prime factorization of 337

337 = 337

Step 2: Find the prime factorization of 345

345 = 3 x 5 x 23

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

LCM = 116265 = 3 x 5 x 23 x 337

Step 4: Therefore, the least common multiple of 337 and 345 is 116265.