Least Common Multiple of 7321 and 7329

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 7329 the smallest integer that is 53655609 that is divisible by both numbers.

Least Common Multiple (LCM) of 7321 and 7329 is 53655609.

LCM(7321,7329) = 53655609

LCM of 7321 and 7329

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

LCM of:
and

Least Common Multiple of 7321 and 7329

LCM of 7321 and 7329 is 53655609

Least common multiple can be found by multiplying the highest exponent prime factors of 7321 and 7329. First we will calculate the prime factors of 7321 and 7329.

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 7329


3 7329
7 2443
349 349
1

Prime factors of 7329 are 3, 7,349. Prime factorization of 7329 in exponential form is:

7329 = 31×71×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 7321 and 7329.

LCM(7321,7329) = 31×71×3491×73211
LCM(7321,7329) = 53655609

Factors of 7321

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

1, 7321

Factors of 7329

List of positive integer factors of 7329 that divides 7329 without a remainder.

1, 3, 7, 21, 349, 1047, 2443, 7329

Least Common Multiple of 7321 and 7329 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 7329, than apply into the LCM equation.

GCF(7321,7329) = 1
LCM(7321,7329) = ( 7321 × 7329) / 1
LCM(7321,7329) = 53655609 / 1
LCM(7321,7329) = 53655609

Properties of LCM 7321 and 7329

(i) The LCM of 7329 and 7321 is associative

LCM of 7321 and 7329 = LCM of 7329 and 7321

Related Least Common Multiples of 7321

Related Least Common Multiples of 7329

Frequently Asked Questions on LCM of 7321 and 7329

1. What is the LCM of 7321 and 7329?

Answer: LCM of 7321 and 7329 is 53655609.

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 7329?

Answer: Factors of 7329 are 1, 3, 7, 21, 349, 1047, 2443, 7329. There are 8 integers that are factors of 7329. The greatest factor of 7329 is 7329.

4. How to Find the LCM of 7321 and 7329?

Answer:

Least Common Multiple of 7321 and 7329 = 53655609

Step 1: Find the prime factorization of 7321

7321 = 7321

Step 2: Find the prime factorization of 7329

7329 = 3 x 7 x 349

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

LCM = 53655609 = 3 x 7 x 349 x 7321

Step 4: Therefore, the least common multiple of 7321 and 7329 is 53655609.