Least Common Multiple of 7392 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 7392 and 7396 the smallest integer that is 13667808 that is divisible by both numbers.

Least Common Multiple (LCM) of 7392 and 7396 is 13667808.

LCM(7392,7396) = 13667808

LCM of 7392 and 7396

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

LCM of:
and

Least Common Multiple of 7392 and 7396

LCM of 7392 and 7396 is 13667808

Least common multiple can be found by multiplying the highest exponent prime factors of 7392 and 7396. First we will calculate the prime factors of 7392 and 7396.

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

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 7392 and 7396.

LCM(7392,7396) = 25×31×71×111×432
LCM(7392,7396) = 13667808

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

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 7392 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 7392 and 7396, than apply into the LCM equation.

GCF(7392,7396) = 4
LCM(7392,7396) = ( 7392 × 7396) / 4
LCM(7392,7396) = 54671232 / 4
LCM(7392,7396) = 13667808

Properties of LCM 7392 and 7396

(i) The LCM of 7396 and 7392 is associative

LCM of 7392 and 7396 = LCM of 7396 and 7392

Related Least Common Multiples of 7392

Related Least Common Multiples of 7396

Frequently Asked Questions on LCM of 7392 and 7396

1. What is the LCM of 7392 and 7396?

Answer: LCM of 7392 and 7396 is 13667808.

2. 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.

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 7392 and 7396?

Answer:

Least Common Multiple of 7392 and 7396 = 13667808

Step 1: Find the prime factorization of 7392

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

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 = 13667808 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 43 x 43

Step 4: Therefore, the least common multiple of 7392 and 7396 is 13667808.