Least Common Multiple of 7320 and 7326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7320 and 7326 the smallest integer that is 8937720 that is divisible by both numbers.

Least Common Multiple (LCM) of 7320 and 7326 is 8937720.

LCM(7320,7326) = 8937720

LCM of 7320 and 7326

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

LCM of:
and

Least Common Multiple of 7320 and 7326

LCM of 7320 and 7326 is 8937720

Least common multiple can be found by multiplying the highest exponent prime factors of 7320 and 7326. First we will calculate the prime factors of 7320 and 7326.

Prime Factorization of 7320


2 7320
2 3660
2 1830
3 915
5 305
61 61
1

Prime factors of 7320 are 2, 3, 5,61. Prime factorization of 7320 in exponential form is:

7320 = 23×31×51×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7320 and 7326.

LCM(7320,7326) = 23×32×51×111×371×611
LCM(7320,7326) = 8937720

Factors of 7320

List of positive integer factors of 7320 that divides 7320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 61, 120, 122, 183, 244, 305, 366, 488, 610, 732, 915, 1220, 1464, 1830, 2440, 3660, 7320

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

Least Common Multiple of 7320 and 7326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7320 and 7326, than apply into the LCM equation.

GCF(7320,7326) = 6
LCM(7320,7326) = ( 7320 × 7326) / 6
LCM(7320,7326) = 53626320 / 6
LCM(7320,7326) = 8937720

Properties of LCM 7320 and 7326

(i) The LCM of 7326 and 7320 is associative

LCM of 7320 and 7326 = LCM of 7326 and 7320

Related Least Common Multiples of 7320

Related Least Common Multiples of 7326

Frequently Asked Questions on LCM of 7320 and 7326

1. What is the LCM of 7320 and 7326?

Answer: LCM of 7320 and 7326 is 8937720.

2. What are the Factors of 7320?

Answer: Factors of 7320 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 61, 120, 122, 183, 244, 305, 366, 488, 610, 732, 915, 1220, 1464, 1830, 2440, 3660, 7320. There are 32 integers that are factors of 7320. The greatest factor of 7320 is 7320.

3. 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.

4. How to Find the LCM of 7320 and 7326?

Answer:

Least Common Multiple of 7320 and 7326 = 8937720

Step 1: Find the prime factorization of 7320

7320 = 2 x 2 x 2 x 3 x 5 x 61

Step 2: Find the prime factorization of 7326

7326 = 2 x 3 x 3 x 11 x 37

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

LCM = 8937720 = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 37 x 61

Step 4: Therefore, the least common multiple of 7320 and 7326 is 8937720.