Least Common Multiple of 7326 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 7326 and 7328 the smallest integer that is 26842464 that is divisible by both numbers.

Least Common Multiple (LCM) of 7326 and 7328 is 26842464.

LCM(7326,7328) = 26842464

LCM of 7326 and 7328

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

LCM of:
and

Least Common Multiple of 7326 and 7328

LCM of 7326 and 7328 is 26842464

Least common multiple can be found by multiplying the highest exponent prime factors of 7326 and 7328. First we will calculate the prime factors of 7326 and 7328.

Prime Factorization of 7326


2 7326
3 3663
3 1221
11 407
37 37
1

Prime factors of 7326 are 2, 3, 11,37. Prime factorization of 7326 in exponential form is:

7326 = 21×32×111×371

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 7326 and 7328.

LCM(7326,7328) = 25×32×111×371×2291
LCM(7326,7328) = 26842464

Factors of 7326

List of positive integer factors of 7326 that divides 7326 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 37, 66, 74, 99, 111, 198, 222, 333, 407, 666, 814, 1221, 2442, 3663, 7326

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 7326 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 7326 and 7328, than apply into the LCM equation.

GCF(7326,7328) = 2
LCM(7326,7328) = ( 7326 × 7328) / 2
LCM(7326,7328) = 53684928 / 2
LCM(7326,7328) = 26842464

Properties of LCM 7326 and 7328

(i) The LCM of 7328 and 7326 is associative

LCM of 7326 and 7328 = LCM of 7328 and 7326

Related Least Common Multiples of 7326

Related Least Common Multiples of 7328

Frequently Asked Questions on LCM of 7326 and 7328

1. What is the LCM of 7326 and 7328?

Answer: LCM of 7326 and 7328 is 26842464.

2. What are the Factors of 7326?

Answer: Factors of 7326 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 37, 66, 74, 99, 111, 198, 222, 333, 407, 666, 814, 1221, 2442, 3663, 7326. There are 24 integers that are factors of 7326. The greatest factor of 7326 is 7326.

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 7326 and 7328?

Answer:

Least Common Multiple of 7326 and 7328 = 26842464

Step 1: Find the prime factorization of 7326

7326 = 2 x 3 x 3 x 11 x 37

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 = 26842464 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 37 x 229

Step 4: Therefore, the least common multiple of 7326 and 7328 is 26842464.