Least Common Multiple of 7389 and 7396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7389 and 7396 the smallest integer that is 54649044 that is divisible by both numbers.

Least Common Multiple (LCM) of 7389 and 7396 is 54649044.

LCM(7389,7396) = 54649044

LCM of 7389 and 7396

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

LCM of:
and

Least Common Multiple of 7389 and 7396

LCM of 7389 and 7396 is 54649044

Least common multiple can be found by multiplying the highest exponent prime factors of 7389 and 7396. First we will calculate the prime factors of 7389 and 7396.

Prime Factorization of 7389


3 7389
3 2463
821 821
1

Prime factors of 7389 are 3,821. Prime factorization of 7389 in exponential form is:

7389 = 32×8211

Prime Factorization of 7396


2 7396
2 3698
43 1849
43 43
1

Prime factors of 7396 are 2,43. Prime factorization of 7396 in exponential form is:

7396 = 22×432

Now multiplying the highest exponent prime factors to calculate the LCM of 7389 and 7396.

LCM(7389,7396) = 22×32×432×8211
LCM(7389,7396) = 54649044

Factors of 7389

List of positive integer factors of 7389 that divides 7389 without a remainder.

1, 3, 9, 821, 2463, 7389

Factors of 7396

List of positive integer factors of 7396 that divides 7396 without a remainder.

1, 2, 4, 43, 86, 172, 1849, 3698, 7396

Least Common Multiple of 7389 and 7396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7389 and 7396, than apply into the LCM equation.

GCF(7389,7396) = 1
LCM(7389,7396) = ( 7389 × 7396) / 1
LCM(7389,7396) = 54649044 / 1
LCM(7389,7396) = 54649044

Properties of LCM 7389 and 7396

(i) The LCM of 7396 and 7389 is associative

LCM of 7389 and 7396 = LCM of 7396 and 7389

Related Least Common Multiples of 7389

Related Least Common Multiples of 7396

Frequently Asked Questions on LCM of 7389 and 7396

1. What is the LCM of 7389 and 7396?

Answer: LCM of 7389 and 7396 is 54649044.

2. What are the Factors of 7389?

Answer: Factors of 7389 are 1, 3, 9, 821, 2463, 7389. There are 6 integers that are factors of 7389. The greatest factor of 7389 is 7389.

3. What are the Factors of 7396?

Answer: Factors of 7396 are 1, 2, 4, 43, 86, 172, 1849, 3698, 7396. There are 9 integers that are factors of 7396. The greatest factor of 7396 is 7396.

4. How to Find the LCM of 7389 and 7396?

Answer:

Least Common Multiple of 7389 and 7396 = 54649044

Step 1: Find the prime factorization of 7389

7389 = 3 x 3 x 821

Step 2: Find the prime factorization of 7396

7396 = 2 x 2 x 43 x 43

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

LCM = 54649044 = 2 x 2 x 3 x 3 x 43 x 43 x 821

Step 4: Therefore, the least common multiple of 7389 and 7396 is 54649044.