Least Common Multiple of 7322 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 7322 and 7328 the smallest integer that is 26827808 that is divisible by both numbers.

Least Common Multiple (LCM) of 7322 and 7328 is 26827808.

LCM(7322,7328) = 26827808

LCM of 7322 and 7328

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

LCM of:
and

Least Common Multiple of 7322 and 7328

LCM of 7322 and 7328 is 26827808

Least common multiple can be found by multiplying the highest exponent prime factors of 7322 and 7328. First we will calculate the prime factors of 7322 and 7328.

Prime Factorization of 7322


2 7322
7 3661
523 523
1

Prime factors of 7322 are 2, 7,523. Prime factorization of 7322 in exponential form is:

7322 = 21×71×5231

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 7322 and 7328.

LCM(7322,7328) = 25×71×2291×5231
LCM(7322,7328) = 26827808

Factors of 7322

List of positive integer factors of 7322 that divides 7322 without a remainder.

1, 2, 7, 14, 523, 1046, 3661, 7322

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 7322 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 7322 and 7328, than apply into the LCM equation.

GCF(7322,7328) = 2
LCM(7322,7328) = ( 7322 × 7328) / 2
LCM(7322,7328) = 53655616 / 2
LCM(7322,7328) = 26827808

Properties of LCM 7322 and 7328

(i) The LCM of 7328 and 7322 is associative

LCM of 7322 and 7328 = LCM of 7328 and 7322

Related Least Common Multiples of 7322

Related Least Common Multiples of 7328

Frequently Asked Questions on LCM of 7322 and 7328

1. What is the LCM of 7322 and 7328?

Answer: LCM of 7322 and 7328 is 26827808.

2. What are the Factors of 7322?

Answer: Factors of 7322 are 1, 2, 7, 14, 523, 1046, 3661, 7322. There are 8 integers that are factors of 7322. The greatest factor of 7322 is 7322.

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 7322 and 7328?

Answer:

Least Common Multiple of 7322 and 7328 = 26827808

Step 1: Find the prime factorization of 7322

7322 = 2 x 7 x 523

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 = 26827808 = 2 x 2 x 2 x 2 x 2 x 7 x 229 x 523

Step 4: Therefore, the least common multiple of 7322 and 7328 is 26827808.