Least Common Multiple of 337 and 339

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 339 the smallest integer that is 114243 that is divisible by both numbers.

Least Common Multiple (LCM) of 337 and 339 is 114243.

LCM(337,339) = 114243

LCM of 337 and 339

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

LCM of:
and

Least Common Multiple of 337 and 339

LCM of 337 and 339 is 114243

Least common multiple can be found by multiplying the highest exponent prime factors of 337 and 339. First we will calculate the prime factors of 337 and 339.

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 339


3 339
113 113
1

Prime factors of 339 are 3,113. Prime factorization of 339 in exponential form is:

339 = 31×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 337 and 339.

LCM(337,339) = 31×1131×3371
LCM(337,339) = 114243

Factors of 337

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

1, 337

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Least Common Multiple of 337 and 339 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 339, than apply into the LCM equation.

GCF(337,339) = 1
LCM(337,339) = ( 337 × 339) / 1
LCM(337,339) = 114243 / 1
LCM(337,339) = 114243

Properties of LCM 337 and 339

(i) The LCM of 339 and 337 is associative

LCM of 337 and 339 = LCM of 339 and 337

Related Least Common Multiples of 337

Related Least Common Multiples of 339

Frequently Asked Questions on LCM of 337 and 339

1. What is the LCM of 337 and 339?

Answer: LCM of 337 and 339 is 114243.

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 339?

Answer: Factors of 339 are 1, 3, 113, 339. There are 4 integers that are factors of 339. The greatest factor of 339 is 339.

4. How to Find the LCM of 337 and 339?

Answer:

Least Common Multiple of 337 and 339 = 114243

Step 1: Find the prime factorization of 337

337 = 337

Step 2: Find the prime factorization of 339

339 = 3 x 113

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

LCM = 114243 = 3 x 113 x 337

Step 4: Therefore, the least common multiple of 337 and 339 is 114243.