Least Common Multiple of 7384 and 7389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7384 and 7389 the smallest integer that is 54560376 that is divisible by both numbers.

Least Common Multiple (LCM) of 7384 and 7389 is 54560376.

LCM(7384,7389) = 54560376

LCM of 7384 and 7389

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

LCM of:
and

Least Common Multiple of 7384 and 7389

LCM of 7384 and 7389 is 54560376

Least common multiple can be found by multiplying the highest exponent prime factors of 7384 and 7389. First we will calculate the prime factors of 7384 and 7389.

Prime Factorization of 7384


2 7384
2 3692
2 1846
13 923
71 71
1

Prime factors of 7384 are 2, 13,71. Prime factorization of 7384 in exponential form is:

7384 = 23×131×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7384 and 7389.

LCM(7384,7389) = 23×32×131×711×8211
LCM(7384,7389) = 54560376

Factors of 7384

List of positive integer factors of 7384 that divides 7384 without a remainder.

1, 2, 4, 8, 13, 26, 52, 71, 104, 142, 284, 568, 923, 1846, 3692, 7384

Factors of 7389

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

1, 3, 9, 821, 2463, 7389

Least Common Multiple of 7384 and 7389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7384 and 7389, than apply into the LCM equation.

GCF(7384,7389) = 1
LCM(7384,7389) = ( 7384 × 7389) / 1
LCM(7384,7389) = 54560376 / 1
LCM(7384,7389) = 54560376

Properties of LCM 7384 and 7389

(i) The LCM of 7389 and 7384 is associative

LCM of 7384 and 7389 = LCM of 7389 and 7384

Related Least Common Multiples of 7384

Related Least Common Multiples of 7389

Frequently Asked Questions on LCM of 7384 and 7389

1. What is the LCM of 7384 and 7389?

Answer: LCM of 7384 and 7389 is 54560376.

2. What are the Factors of 7384?

Answer: Factors of 7384 are 1, 2, 4, 8, 13, 26, 52, 71, 104, 142, 284, 568, 923, 1846, 3692, 7384. There are 16 integers that are factors of 7384. The greatest factor of 7384 is 7384.

3. 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.

4. How to Find the LCM of 7384 and 7389?

Answer:

Least Common Multiple of 7384 and 7389 = 54560376

Step 1: Find the prime factorization of 7384

7384 = 2 x 2 x 2 x 13 x 71

Step 2: Find the prime factorization of 7389

7389 = 3 x 3 x 821

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

LCM = 54560376 = 2 x 2 x 2 x 3 x 3 x 13 x 71 x 821

Step 4: Therefore, the least common multiple of 7384 and 7389 is 54560376.