Least Common Multiple of 331 and 337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 331 and 337 the smallest integer that is 111547 that is divisible by both numbers.

Least Common Multiple (LCM) of 331 and 337 is 111547.

LCM(331,337) = 111547

LCM of 331 and 337

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

LCM of:
and

Least Common Multiple of 331 and 337

LCM of 331 and 337 is 111547

Least common multiple can be found by multiplying the highest exponent prime factors of 331 and 337. First we will calculate the prime factors of 331 and 337.

Prime Factorization of 331


331 331
1

Prime factors of 331 are 331. Prime factorization of 331 in exponential form is:

331 = 3311

Prime Factorization of 337


337 337
1

Prime factors of 337 are 337. Prime factorization of 337 in exponential form is:

337 = 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 331 and 337.

LCM(331,337) = 3311×3371
LCM(331,337) = 111547

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1, 331

Factors of 337

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

1, 337

Least Common Multiple of 331 and 337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 331 and 337, than apply into the LCM equation.

GCF(331,337) = 1
LCM(331,337) = ( 331 × 337) / 1
LCM(331,337) = 111547 / 1
LCM(331,337) = 111547

Properties of LCM 331 and 337

(i) The LCM of 337 and 331 is associative

LCM of 331 and 337 = LCM of 337 and 331

Related Least Common Multiples of 331

Related Least Common Multiples of 337

Frequently Asked Questions on LCM of 331 and 337

1. What is the LCM of 331 and 337?

Answer: LCM of 331 and 337 is 111547.

2. What are the Factors of 331?

Answer: Factors of 331 are 1, 331. There are 2 integers that are factors of 331. The greatest factor of 331 is 331.

3. 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.

4. How to Find the LCM of 331 and 337?

Answer:

Least Common Multiple of 331 and 337 = 111547

Step 1: Find the prime factorization of 331

331 = 331

Step 2: Find the prime factorization of 337

337 = 337

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

LCM = 111547 = 331 x 337

Step 4: Therefore, the least common multiple of 331 and 337 is 111547.