Least Common Multiple of 7326 and 7330

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 7330 the smallest integer that is 26849790 that is divisible by both numbers.

Least Common Multiple (LCM) of 7326 and 7330 is 26849790.

LCM(7326,7330) = 26849790

LCM of 7326 and 7330

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

LCM of:
and

Least Common Multiple of 7326 and 7330

LCM of 7326 and 7330 is 26849790

Least common multiple can be found by multiplying the highest exponent prime factors of 7326 and 7330. First we will calculate the prime factors of 7326 and 7330.

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 7330


2 7330
5 3665
733 733
1

Prime factors of 7330 are 2, 5,733. Prime factorization of 7330 in exponential form is:

7330 = 21×51×7331

Now multiplying the highest exponent prime factors to calculate the LCM of 7326 and 7330.

LCM(7326,7330) = 21×32×51×111×371×7331
LCM(7326,7330) = 26849790

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 7330

List of positive integer factors of 7330 that divides 7330 without a remainder.

1, 2, 5, 10, 733, 1466, 3665, 7330

Least Common Multiple of 7326 and 7330 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 7330, than apply into the LCM equation.

GCF(7326,7330) = 2
LCM(7326,7330) = ( 7326 × 7330) / 2
LCM(7326,7330) = 53699580 / 2
LCM(7326,7330) = 26849790

Properties of LCM 7326 and 7330

(i) The LCM of 7330 and 7326 is associative

LCM of 7326 and 7330 = LCM of 7330 and 7326

Related Least Common Multiples of 7326

Related Least Common Multiples of 7330

Frequently Asked Questions on LCM of 7326 and 7330

1. What is the LCM of 7326 and 7330?

Answer: LCM of 7326 and 7330 is 26849790.

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 7330?

Answer: Factors of 7330 are 1, 2, 5, 10, 733, 1466, 3665, 7330. There are 8 integers that are factors of 7330. The greatest factor of 7330 is 7330.

4. How to Find the LCM of 7326 and 7330?

Answer:

Least Common Multiple of 7326 and 7330 = 26849790

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 7330

7330 = 2 x 5 x 733

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

LCM = 26849790 = 2 x 3 x 3 x 5 x 11 x 37 x 733

Step 4: Therefore, the least common multiple of 7326 and 7330 is 26849790.