Least Common Multiple of 7337 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 7337 and 7344 the smallest integer that is 53882928 that is divisible by both numbers.

Least Common Multiple (LCM) of 7337 and 7344 is 53882928.

LCM(7337,7344) = 53882928

LCM of 7337 and 7344

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

LCM of:
and

Least Common Multiple of 7337 and 7344

LCM of 7337 and 7344 is 53882928

Least common multiple can be found by multiplying the highest exponent prime factors of 7337 and 7344. First we will calculate the prime factors of 7337 and 7344.

Prime Factorization of 7337


11 7337
23 667
29 29
1

Prime factors of 7337 are 11, 23,29. Prime factorization of 7337 in exponential form is:

7337 = 111×231×291

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 7337 and 7344.

LCM(7337,7344) = 24×33×111×171×231×291
LCM(7337,7344) = 53882928

Factors of 7337

List of positive integer factors of 7337 that divides 7337 without a remainder.

1, 11, 23, 29, 253, 319, 667, 7337

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 7337 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 7337 and 7344, than apply into the LCM equation.

GCF(7337,7344) = 1
LCM(7337,7344) = ( 7337 × 7344) / 1
LCM(7337,7344) = 53882928 / 1
LCM(7337,7344) = 53882928

Properties of LCM 7337 and 7344

(i) The LCM of 7344 and 7337 is associative

LCM of 7337 and 7344 = LCM of 7344 and 7337

Related Least Common Multiples of 7337

Related Least Common Multiples of 7344

Frequently Asked Questions on LCM of 7337 and 7344

1. What is the LCM of 7337 and 7344?

Answer: LCM of 7337 and 7344 is 53882928.

2. What are the Factors of 7337?

Answer: Factors of 7337 are 1, 11, 23, 29, 253, 319, 667, 7337. There are 8 integers that are factors of 7337. The greatest factor of 7337 is 7337.

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 7337 and 7344?

Answer:

Least Common Multiple of 7337 and 7344 = 53882928

Step 1: Find the prime factorization of 7337

7337 = 11 x 23 x 29

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 = 53882928 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 17 x 23 x 29

Step 4: Therefore, the least common multiple of 7337 and 7344 is 53882928.