Least Common Multiple of 7326 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 7326 and 7329 the smallest integer that is 17897418 that is divisible by both numbers.

Least Common Multiple (LCM) of 7326 and 7329 is 17897418.

LCM(7326,7329) = 17897418

LCM of 7326 and 7329

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

LCM of:
and

Least Common Multiple of 7326 and 7329

LCM of 7326 and 7329 is 17897418

Least common multiple can be found by multiplying the highest exponent prime factors of 7326 and 7329. First we will calculate the prime factors of 7326 and 7329.

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 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 7326 and 7329.

LCM(7326,7329) = 21×32×71×111×371×3491
LCM(7326,7329) = 17897418

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 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 7326 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 7326 and 7329, than apply into the LCM equation.

GCF(7326,7329) = 3
LCM(7326,7329) = ( 7326 × 7329) / 3
LCM(7326,7329) = 53692254 / 3
LCM(7326,7329) = 17897418

Properties of LCM 7326 and 7329

(i) The LCM of 7329 and 7326 is associative

LCM of 7326 and 7329 = LCM of 7329 and 7326

Related Least Common Multiples of 7326

Related Least Common Multiples of 7329

Frequently Asked Questions on LCM of 7326 and 7329

1. What is the LCM of 7326 and 7329?

Answer: LCM of 7326 and 7329 is 17897418.

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 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 7326 and 7329?

Answer:

Least Common Multiple of 7326 and 7329 = 17897418

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 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 = 17897418 = 2 x 3 x 3 x 7 x 11 x 37 x 349

Step 4: Therefore, the least common multiple of 7326 and 7329 is 17897418.