Least Common Multiple of 1339 and 1344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1339 and 1344 the smallest integer that is 1799616 that is divisible by both numbers.

Least Common Multiple (LCM) of 1339 and 1344 is 1799616.

LCM(1339,1344) = 1799616

LCM of 1339 and 1344

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

LCM of:
and

Least Common Multiple of 1339 and 1344

LCM of 1339 and 1344 is 1799616

Least common multiple can be found by multiplying the highest exponent prime factors of 1339 and 1344. First we will calculate the prime factors of 1339 and 1344.

Prime Factorization of 1339


13 1339
103 103
1

Prime factors of 1339 are 13,103. Prime factorization of 1339 in exponential form is:

1339 = 131×1031

Prime Factorization of 1344


2 1344
2 672
2 336
2 168
2 84
2 42
3 21
7 7
1

Prime factors of 1344 are 2, 3,7. Prime factorization of 1344 in exponential form is:

1344 = 26×31×71

Now multiplying the highest exponent prime factors to calculate the LCM of 1339 and 1344.

LCM(1339,1344) = 26×31×71×131×1031
LCM(1339,1344) = 1799616

Factors of 1339

List of positive integer factors of 1339 that divides 1339 without a remainder.

1, 13, 103, 1339

Factors of 1344

List of positive integer factors of 1344 that divides 1344 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344

Least Common Multiple of 1339 and 1344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1339 and 1344, than apply into the LCM equation.

GCF(1339,1344) = 1
LCM(1339,1344) = ( 1339 × 1344) / 1
LCM(1339,1344) = 1799616 / 1
LCM(1339,1344) = 1799616

Properties of LCM 1339 and 1344

(i) The LCM of 1344 and 1339 is associative

LCM of 1339 and 1344 = LCM of 1344 and 1339

Related Least Common Multiples of 1339

Related Least Common Multiples of 1344

Frequently Asked Questions on LCM of 1339 and 1344

1. What is the LCM of 1339 and 1344?

Answer: LCM of 1339 and 1344 is 1799616.

2. What are the Factors of 1339?

Answer: Factors of 1339 are 1, 13, 103, 1339. There are 4 integers that are factors of 1339. The greatest factor of 1339 is 1339.

3. What are the Factors of 1344?

Answer: Factors of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344. There are 28 integers that are factors of 1344. The greatest factor of 1344 is 1344.

4. How to Find the LCM of 1339 and 1344?

Answer:

Least Common Multiple of 1339 and 1344 = 1799616

Step 1: Find the prime factorization of 1339

1339 = 13 x 103

Step 2: Find the prime factorization of 1344

1344 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7

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

LCM = 1799616 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 103

Step 4: Therefore, the least common multiple of 1339 and 1344 is 1799616.