Least Common Multiple of 337 and 344

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 344 the smallest integer that is 115928 that is divisible by both numbers.

Least Common Multiple (LCM) of 337 and 344 is 115928.

LCM(337,344) = 115928

LCM of 337 and 344

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

LCM of:
and

Least Common Multiple of 337 and 344

LCM of 337 and 344 is 115928

Least common multiple can be found by multiplying the highest exponent prime factors of 337 and 344. First we will calculate the prime factors of 337 and 344.

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 344


2 344
2 172
2 86
43 43
1

Prime factors of 344 are 2,43. Prime factorization of 344 in exponential form is:

344 = 23×431

Now multiplying the highest exponent prime factors to calculate the LCM of 337 and 344.

LCM(337,344) = 23×431×3371
LCM(337,344) = 115928

Factors of 337

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

1, 337

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Least Common Multiple of 337 and 344 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 344, than apply into the LCM equation.

GCF(337,344) = 1
LCM(337,344) = ( 337 × 344) / 1
LCM(337,344) = 115928 / 1
LCM(337,344) = 115928

Properties of LCM 337 and 344

(i) The LCM of 344 and 337 is associative

LCM of 337 and 344 = LCM of 344 and 337

Related Least Common Multiples of 337

Related Least Common Multiples of 344

Frequently Asked Questions on LCM of 337 and 344

1. What is the LCM of 337 and 344?

Answer: LCM of 337 and 344 is 115928.

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 344?

Answer: Factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344. There are 8 integers that are factors of 344. The greatest factor of 344 is 344.

4. How to Find the LCM of 337 and 344?

Answer:

Least Common Multiple of 337 and 344 = 115928

Step 1: Find the prime factorization of 337

337 = 337

Step 2: Find the prime factorization of 344

344 = 2 x 2 x 2 x 43

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

LCM = 115928 = 2 x 2 x 2 x 43 x 337

Step 4: Therefore, the least common multiple of 337 and 344 is 115928.