Least Common Multiple of 7321 and 7328

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 7328 the smallest integer that is 53648288 that is divisible by both numbers.

Least Common Multiple (LCM) of 7321 and 7328 is 53648288.

LCM(7321,7328) = 53648288

LCM of 7321 and 7328

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

LCM of:
and

Least Common Multiple of 7321 and 7328

LCM of 7321 and 7328 is 53648288

Least common multiple can be found by multiplying the highest exponent prime factors of 7321 and 7328. First we will calculate the prime factors of 7321 and 7328.

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 7328


2 7328
2 3664
2 1832
2 916
2 458
229 229
1

Prime factors of 7328 are 2,229. Prime factorization of 7328 in exponential form is:

7328 = 25×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 7321 and 7328.

LCM(7321,7328) = 25×2291×73211
LCM(7321,7328) = 53648288

Factors of 7321

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

1, 7321

Factors of 7328

List of positive integer factors of 7328 that divides 7328 without a remainder.

1, 2, 4, 8, 16, 32, 229, 458, 916, 1832, 3664, 7328

Least Common Multiple of 7321 and 7328 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 7328, than apply into the LCM equation.

GCF(7321,7328) = 1
LCM(7321,7328) = ( 7321 × 7328) / 1
LCM(7321,7328) = 53648288 / 1
LCM(7321,7328) = 53648288

Properties of LCM 7321 and 7328

(i) The LCM of 7328 and 7321 is associative

LCM of 7321 and 7328 = LCM of 7328 and 7321

Related Least Common Multiples of 7321

Related Least Common Multiples of 7328

Frequently Asked Questions on LCM of 7321 and 7328

1. What is the LCM of 7321 and 7328?

Answer: LCM of 7321 and 7328 is 53648288.

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 7328?

Answer: Factors of 7328 are 1, 2, 4, 8, 16, 32, 229, 458, 916, 1832, 3664, 7328. There are 12 integers that are factors of 7328. The greatest factor of 7328 is 7328.

4. How to Find the LCM of 7321 and 7328?

Answer:

Least Common Multiple of 7321 and 7328 = 53648288

Step 1: Find the prime factorization of 7321

7321 = 7321

Step 2: Find the prime factorization of 7328

7328 = 2 x 2 x 2 x 2 x 2 x 229

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

LCM = 53648288 = 2 x 2 x 2 x 2 x 2 x 229 x 7321

Step 4: Therefore, the least common multiple of 7321 and 7328 is 53648288.