Least Common Multiple of 7336 and 7344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7336 and 7344 the smallest integer that is 6734448 that is divisible by both numbers.

Least Common Multiple (LCM) of 7336 and 7344 is 6734448.

LCM(7336,7344) = 6734448

LCM of 7336 and 7344

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

LCM of:
and

Least Common Multiple of 7336 and 7344

LCM of 7336 and 7344 is 6734448

Least common multiple can be found by multiplying the highest exponent prime factors of 7336 and 7344. First we will calculate the prime factors of 7336 and 7344.

Prime Factorization of 7336


2 7336
2 3668
2 1834
7 917
131 131
1

Prime factors of 7336 are 2, 7,131. Prime factorization of 7336 in exponential form is:

7336 = 23×71×1311

Prime Factorization of 7344


2 7344
2 3672
2 1836
2 918
3 459
3 153
3 51
17 17
1

Prime factors of 7344 are 2, 3,17. Prime factorization of 7344 in exponential form is:

7344 = 24×33×171

Now multiplying the highest exponent prime factors to calculate the LCM of 7336 and 7344.

LCM(7336,7344) = 24×33×71×171×1311
LCM(7336,7344) = 6734448

Factors of 7336

List of positive integer factors of 7336 that divides 7336 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 131, 262, 524, 917, 1048, 1834, 3668, 7336

Factors of 7344

List of positive integer factors of 7344 that divides 7344 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 34, 36, 48, 51, 54, 68, 72, 102, 108, 136, 144, 153, 204, 216, 272, 306, 408, 432, 459, 612, 816, 918, 1224, 1836, 2448, 3672, 7344

Least Common Multiple of 7336 and 7344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7336 and 7344, than apply into the LCM equation.

GCF(7336,7344) = 8
LCM(7336,7344) = ( 7336 × 7344) / 8
LCM(7336,7344) = 53875584 / 8
LCM(7336,7344) = 6734448

Properties of LCM 7336 and 7344

(i) The LCM of 7344 and 7336 is associative

LCM of 7336 and 7344 = LCM of 7344 and 7336

Related Least Common Multiples of 7336

Related Least Common Multiples of 7344

Frequently Asked Questions on LCM of 7336 and 7344

1. What is the LCM of 7336 and 7344?

Answer: LCM of 7336 and 7344 is 6734448.

2. What are the Factors of 7336?

Answer: Factors of 7336 are 1, 2, 4, 7, 8, 14, 28, 56, 131, 262, 524, 917, 1048, 1834, 3668, 7336. There are 16 integers that are factors of 7336. The greatest factor of 7336 is 7336.

3. What are the Factors of 7344?

Answer: Factors of 7344 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 34, 36, 48, 51, 54, 68, 72, 102, 108, 136, 144, 153, 204, 216, 272, 306, 408, 432, 459, 612, 816, 918, 1224, 1836, 2448, 3672, 7344. There are 40 integers that are factors of 7344. The greatest factor of 7344 is 7344.

4. How to Find the LCM of 7336 and 7344?

Answer:

Least Common Multiple of 7336 and 7344 = 6734448

Step 1: Find the prime factorization of 7336

7336 = 2 x 2 x 2 x 7 x 131

Step 2: Find the prime factorization of 7344

7344 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17

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

LCM = 6734448 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 17 x 131

Step 4: Therefore, the least common multiple of 7336 and 7344 is 6734448.