Least Common Multiple of 7389 and 7393

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 7393 the smallest integer that is 54626877 that is divisible by both numbers.

Least Common Multiple (LCM) of 7389 and 7393 is 54626877.

LCM(7389,7393) = 54626877

LCM of 7389 and 7393

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

LCM of:
and

Least Common Multiple of 7389 and 7393

LCM of 7389 and 7393 is 54626877

Least common multiple can be found by multiplying the highest exponent prime factors of 7389 and 7393. First we will calculate the prime factors of 7389 and 7393.

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 7393


7393 7393
1

Prime factors of 7393 are 7393. Prime factorization of 7393 in exponential form is:

7393 = 73931

Now multiplying the highest exponent prime factors to calculate the LCM of 7389 and 7393.

LCM(7389,7393) = 32×8211×73931
LCM(7389,7393) = 54626877

Factors of 7389

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

1, 3, 9, 821, 2463, 7389

Factors of 7393

List of positive integer factors of 7393 that divides 7393 without a remainder.

1, 7393

Least Common Multiple of 7389 and 7393 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 7393, than apply into the LCM equation.

GCF(7389,7393) = 1
LCM(7389,7393) = ( 7389 × 7393) / 1
LCM(7389,7393) = 54626877 / 1
LCM(7389,7393) = 54626877

Properties of LCM 7389 and 7393

(i) The LCM of 7393 and 7389 is associative

LCM of 7389 and 7393 = LCM of 7393 and 7389

Related Least Common Multiples of 7389

Related Least Common Multiples of 7393

Frequently Asked Questions on LCM of 7389 and 7393

1. What is the LCM of 7389 and 7393?

Answer: LCM of 7389 and 7393 is 54626877.

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 7393?

Answer: Factors of 7393 are 1, 7393. There are 2 integers that are factors of 7393. The greatest factor of 7393 is 7393.

4. How to Find the LCM of 7389 and 7393?

Answer:

Least Common Multiple of 7389 and 7393 = 54626877

Step 1: Find the prime factorization of 7389

7389 = 3 x 3 x 821

Step 2: Find the prime factorization of 7393

7393 = 7393

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

LCM = 54626877 = 3 x 3 x 821 x 7393

Step 4: Therefore, the least common multiple of 7389 and 7393 is 54626877.