Least Common Multiple of 7327 and 7331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7327 and 7331 the smallest integer that is 53714237 that is divisible by both numbers.

Least Common Multiple (LCM) of 7327 and 7331 is 53714237.

LCM(7327,7331) = 53714237

LCM of 7327 and 7331

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

LCM of:
and

Least Common Multiple of 7327 and 7331

LCM of 7327 and 7331 is 53714237

Least common multiple can be found by multiplying the highest exponent prime factors of 7327 and 7331. First we will calculate the prime factors of 7327 and 7331.

Prime Factorization of 7327


17 7327
431 431
1

Prime factors of 7327 are 17,431. Prime factorization of 7327 in exponential form is:

7327 = 171×4311

Prime Factorization of 7331


7331 7331
1

Prime factors of 7331 are 7331. Prime factorization of 7331 in exponential form is:

7331 = 73311

Now multiplying the highest exponent prime factors to calculate the LCM of 7327 and 7331.

LCM(7327,7331) = 171×4311×73311
LCM(7327,7331) = 53714237

Factors of 7327

List of positive integer factors of 7327 that divides 7327 without a remainder.

1, 17, 431, 7327

Factors of 7331

List of positive integer factors of 7331 that divides 7331 without a remainder.

1, 7331

Least Common Multiple of 7327 and 7331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7327 and 7331, than apply into the LCM equation.

GCF(7327,7331) = 1
LCM(7327,7331) = ( 7327 × 7331) / 1
LCM(7327,7331) = 53714237 / 1
LCM(7327,7331) = 53714237

Properties of LCM 7327 and 7331

(i) The LCM of 7331 and 7327 is associative

LCM of 7327 and 7331 = LCM of 7331 and 7327

Related Least Common Multiples of 7327

Related Least Common Multiples of 7331

Frequently Asked Questions on LCM of 7327 and 7331

1. What is the LCM of 7327 and 7331?

Answer: LCM of 7327 and 7331 is 53714237.

2. What are the Factors of 7327?

Answer: Factors of 7327 are 1, 17, 431, 7327. There are 4 integers that are factors of 7327. The greatest factor of 7327 is 7327.

3. What are the Factors of 7331?

Answer: Factors of 7331 are 1, 7331. There are 2 integers that are factors of 7331. The greatest factor of 7331 is 7331.

4. How to Find the LCM of 7327 and 7331?

Answer:

Least Common Multiple of 7327 and 7331 = 53714237

Step 1: Find the prime factorization of 7327

7327 = 17 x 431

Step 2: Find the prime factorization of 7331

7331 = 7331

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

LCM = 53714237 = 17 x 431 x 7331

Step 4: Therefore, the least common multiple of 7327 and 7331 is 53714237.