Least Common Multiple of 7384 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 7384 and 7392 the smallest integer that is 6822816 that is divisible by both numbers.

Least Common Multiple (LCM) of 7384 and 7392 is 6822816.

LCM(7384,7392) = 6822816

LCM of 7384 and 7392

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

LCM of:
and

Least Common Multiple of 7384 and 7392

LCM of 7384 and 7392 is 6822816

Least common multiple can be found by multiplying the highest exponent prime factors of 7384 and 7392. First we will calculate the prime factors of 7384 and 7392.

Prime Factorization of 7384


2 7384
2 3692
2 1846
13 923
71 71
1

Prime factors of 7384 are 2, 13,71. Prime factorization of 7384 in exponential form is:

7384 = 23×131×711

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 7384 and 7392.

LCM(7384,7392) = 25×31×71×111×131×711
LCM(7384,7392) = 6822816

Factors of 7384

List of positive integer factors of 7384 that divides 7384 without a remainder.

1, 2, 4, 8, 13, 26, 52, 71, 104, 142, 284, 568, 923, 1846, 3692, 7384

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 7384 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 7384 and 7392, than apply into the LCM equation.

GCF(7384,7392) = 8
LCM(7384,7392) = ( 7384 × 7392) / 8
LCM(7384,7392) = 54582528 / 8
LCM(7384,7392) = 6822816

Properties of LCM 7384 and 7392

(i) The LCM of 7392 and 7384 is associative

LCM of 7384 and 7392 = LCM of 7392 and 7384

Related Least Common Multiples of 7384

Related Least Common Multiples of 7392

Frequently Asked Questions on LCM of 7384 and 7392

1. What is the LCM of 7384 and 7392?

Answer: LCM of 7384 and 7392 is 6822816.

2. What are the Factors of 7384?

Answer: Factors of 7384 are 1, 2, 4, 8, 13, 26, 52, 71, 104, 142, 284, 568, 923, 1846, 3692, 7384. There are 16 integers that are factors of 7384. The greatest factor of 7384 is 7384.

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 7384 and 7392?

Answer:

Least Common Multiple of 7384 and 7392 = 6822816

Step 1: Find the prime factorization of 7384

7384 = 2 x 2 x 2 x 13 x 71

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 = 6822816 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 13 x 71

Step 4: Therefore, the least common multiple of 7384 and 7392 is 6822816.