Least Common Multiple of 7321 and 7327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7321 and 7327 the smallest integer that is 53640967 that is divisible by both numbers.

Least Common Multiple (LCM) of 7321 and 7327 is 53640967.

LCM(7321,7327) = 53640967

LCM of 7321 and 7327

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

LCM of:
and

Least Common Multiple of 7321 and 7327

LCM of 7321 and 7327 is 53640967

Least common multiple can be found by multiplying the highest exponent prime factors of 7321 and 7327. First we will calculate the prime factors of 7321 and 7327.

Prime Factorization of 7321


7321 7321
1

Prime factors of 7321 are 7321. Prime factorization of 7321 in exponential form is:

7321 = 73211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7321 and 7327.

LCM(7321,7327) = 171×4311×73211
LCM(7321,7327) = 53640967

Factors of 7321

List of positive integer factors of 7321 that divides 7321 without a remainder.

1, 7321

Factors of 7327

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

1, 17, 431, 7327

Least Common Multiple of 7321 and 7327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7321 and 7327, than apply into the LCM equation.

GCF(7321,7327) = 1
LCM(7321,7327) = ( 7321 × 7327) / 1
LCM(7321,7327) = 53640967 / 1
LCM(7321,7327) = 53640967

Properties of LCM 7321 and 7327

(i) The LCM of 7327 and 7321 is associative

LCM of 7321 and 7327 = LCM of 7327 and 7321

Related Least Common Multiples of 7321

Related Least Common Multiples of 7327

Frequently Asked Questions on LCM of 7321 and 7327

1. What is the LCM of 7321 and 7327?

Answer: LCM of 7321 and 7327 is 53640967.

2. What are the Factors of 7321?

Answer: Factors of 7321 are 1, 7321. There are 2 integers that are factors of 7321. The greatest factor of 7321 is 7321.

3. 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.

4. How to Find the LCM of 7321 and 7327?

Answer:

Least Common Multiple of 7321 and 7327 = 53640967

Step 1: Find the prime factorization of 7321

7321 = 7321

Step 2: Find the prime factorization of 7327

7327 = 17 x 431

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

LCM = 53640967 = 17 x 431 x 7321

Step 4: Therefore, the least common multiple of 7321 and 7327 is 53640967.