Least Common Multiple of 7392 and 7397

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 7397 the smallest integer that is 54678624 that is divisible by both numbers.

Least Common Multiple (LCM) of 7392 and 7397 is 54678624.

LCM(7392,7397) = 54678624

LCM of 7392 and 7397

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

LCM of:
and

Least Common Multiple of 7392 and 7397

LCM of 7392 and 7397 is 54678624

Least common multiple can be found by multiplying the highest exponent prime factors of 7392 and 7397. First we will calculate the prime factors of 7392 and 7397.

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 7397


13 7397
569 569
1

Prime factors of 7397 are 13,569. Prime factorization of 7397 in exponential form is:

7397 = 131×5691

Now multiplying the highest exponent prime factors to calculate the LCM of 7392 and 7397.

LCM(7392,7397) = 25×31×71×111×131×5691
LCM(7392,7397) = 54678624

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 7397

List of positive integer factors of 7397 that divides 7397 without a remainder.

1, 13, 569, 7397

Least Common Multiple of 7392 and 7397 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 7397, than apply into the LCM equation.

GCF(7392,7397) = 1
LCM(7392,7397) = ( 7392 × 7397) / 1
LCM(7392,7397) = 54678624 / 1
LCM(7392,7397) = 54678624

Properties of LCM 7392 and 7397

(i) The LCM of 7397 and 7392 is associative

LCM of 7392 and 7397 = LCM of 7397 and 7392

Related Least Common Multiples of 7392

Related Least Common Multiples of 7397

Frequently Asked Questions on LCM of 7392 and 7397

1. What is the LCM of 7392 and 7397?

Answer: LCM of 7392 and 7397 is 54678624.

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 7397?

Answer: Factors of 7397 are 1, 13, 569, 7397. There are 4 integers that are factors of 7397. The greatest factor of 7397 is 7397.

4. How to Find the LCM of 7392 and 7397?

Answer:

Least Common Multiple of 7392 and 7397 = 54678624

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 7397

7397 = 13 x 569

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

LCM = 54678624 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 13 x 569

Step 4: Therefore, the least common multiple of 7392 and 7397 is 54678624.