Least Common Multiple of 7339 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 7339 and 7344 the smallest integer that is 53897616 that is divisible by both numbers.

Least Common Multiple (LCM) of 7339 and 7344 is 53897616.

LCM(7339,7344) = 53897616

LCM of 7339 and 7344

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

LCM of:
and

Least Common Multiple of 7339 and 7344

LCM of 7339 and 7344 is 53897616

Least common multiple can be found by multiplying the highest exponent prime factors of 7339 and 7344. First we will calculate the prime factors of 7339 and 7344.

Prime Factorization of 7339


41 7339
179 179
1

Prime factors of 7339 are 41,179. Prime factorization of 7339 in exponential form is:

7339 = 411×1791

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 7339 and 7344.

LCM(7339,7344) = 24×33×171×411×1791
LCM(7339,7344) = 53897616

Factors of 7339

List of positive integer factors of 7339 that divides 7339 without a remainder.

1, 41, 179, 7339

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 7339 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 7339 and 7344, than apply into the LCM equation.

GCF(7339,7344) = 1
LCM(7339,7344) = ( 7339 × 7344) / 1
LCM(7339,7344) = 53897616 / 1
LCM(7339,7344) = 53897616

Properties of LCM 7339 and 7344

(i) The LCM of 7344 and 7339 is associative

LCM of 7339 and 7344 = LCM of 7344 and 7339

Related Least Common Multiples of 7339

Related Least Common Multiples of 7344

Frequently Asked Questions on LCM of 7339 and 7344

1. What is the LCM of 7339 and 7344?

Answer: LCM of 7339 and 7344 is 53897616.

2. What are the Factors of 7339?

Answer: Factors of 7339 are 1, 41, 179, 7339. There are 4 integers that are factors of 7339. The greatest factor of 7339 is 7339.

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 7339 and 7344?

Answer:

Least Common Multiple of 7339 and 7344 = 53897616

Step 1: Find the prime factorization of 7339

7339 = 41 x 179

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 = 53897616 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17 x 41 x 179

Step 4: Therefore, the least common multiple of 7339 and 7344 is 53897616.