Least Common Multiple of 7392 and 7399

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 7399 the smallest integer that is 7813344 that is divisible by both numbers.

Least Common Multiple (LCM) of 7392 and 7399 is 7813344.

LCM(7392,7399) = 7813344

LCM of 7392 and 7399

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

LCM of:
and

Least Common Multiple of 7392 and 7399

LCM of 7392 and 7399 is 7813344

Least common multiple can be found by multiplying the highest exponent prime factors of 7392 and 7399. First we will calculate the prime factors of 7392 and 7399.

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 7399


7 7399
7 1057
151 151
1

Prime factors of 7399 are 7,151. Prime factorization of 7399 in exponential form is:

7399 = 72×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 7392 and 7399.

LCM(7392,7399) = 25×31×72×111×1511
LCM(7392,7399) = 7813344

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 7399

List of positive integer factors of 7399 that divides 7399 without a remainder.

1, 7, 49, 151, 1057, 7399

Least Common Multiple of 7392 and 7399 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 7399, than apply into the LCM equation.

GCF(7392,7399) = 7
LCM(7392,7399) = ( 7392 × 7399) / 7
LCM(7392,7399) = 54693408 / 7
LCM(7392,7399) = 7813344

Properties of LCM 7392 and 7399

(i) The LCM of 7399 and 7392 is associative

LCM of 7392 and 7399 = LCM of 7399 and 7392

Related Least Common Multiples of 7392

Related Least Common Multiples of 7399

Frequently Asked Questions on LCM of 7392 and 7399

1. What is the LCM of 7392 and 7399?

Answer: LCM of 7392 and 7399 is 7813344.

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 7399?

Answer: Factors of 7399 are 1, 7, 49, 151, 1057, 7399. There are 6 integers that are factors of 7399. The greatest factor of 7399 is 7399.

4. How to Find the LCM of 7392 and 7399?

Answer:

Least Common Multiple of 7392 and 7399 = 7813344

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 7399

7399 = 7 x 7 x 151

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

LCM = 7813344 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 11 x 151

Step 4: Therefore, the least common multiple of 7392 and 7399 is 7813344.