Least Common Multiple of 7389 and 7392

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 7392 the smallest integer that is 18206496 that is divisible by both numbers.

Least Common Multiple (LCM) of 7389 and 7392 is 18206496.

LCM(7389,7392) = 18206496

LCM of 7389 and 7392

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

LCM of:
and

Least Common Multiple of 7389 and 7392

LCM of 7389 and 7392 is 18206496

Least common multiple can be found by multiplying the highest exponent prime factors of 7389 and 7392. First we will calculate the prime factors of 7389 and 7392.

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 7392


2 7392
2 3696
2 1848
2 924
2 462
3 231
7 77
11 11
1

Prime factors of 7392 are 2, 3, 7,11. Prime factorization of 7392 in exponential form is:

7392 = 25×31×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 7389 and 7392.

LCM(7389,7392) = 25×32×71×111×8211
LCM(7389,7392) = 18206496

Factors of 7389

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

1, 3, 9, 821, 2463, 7389

Factors of 7392

List of positive integer factors of 7392 that divides 7392 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 32, 33, 42, 44, 48, 56, 66, 77, 84, 88, 96, 112, 132, 154, 168, 176, 224, 231, 264, 308, 336, 352, 462, 528, 616, 672, 924, 1056, 1232, 1848, 2464, 3696, 7392

Least Common Multiple of 7389 and 7392 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 7392, than apply into the LCM equation.

GCF(7389,7392) = 3
LCM(7389,7392) = ( 7389 × 7392) / 3
LCM(7389,7392) = 54619488 / 3
LCM(7389,7392) = 18206496

Properties of LCM 7389 and 7392

(i) The LCM of 7392 and 7389 is associative

LCM of 7389 and 7392 = LCM of 7392 and 7389

Related Least Common Multiples of 7389

Related Least Common Multiples of 7392

Frequently Asked Questions on LCM of 7389 and 7392

1. What is the LCM of 7389 and 7392?

Answer: LCM of 7389 and 7392 is 18206496.

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 7392?

Answer: Factors of 7392 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 32, 33, 42, 44, 48, 56, 66, 77, 84, 88, 96, 112, 132, 154, 168, 176, 224, 231, 264, 308, 336, 352, 462, 528, 616, 672, 924, 1056, 1232, 1848, 2464, 3696, 7392. There are 48 integers that are factors of 7392. The greatest factor of 7392 is 7392.

4. How to Find the LCM of 7389 and 7392?

Answer:

Least Common Multiple of 7389 and 7392 = 18206496

Step 1: Find the prime factorization of 7389

7389 = 3 x 3 x 821

Step 2: Find the prime factorization of 7392

7392 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11

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

LCM = 18206496 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 821

Step 4: Therefore, the least common multiple of 7389 and 7392 is 18206496.