Least Common Multiple of 1340 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 1340 and 1344 the smallest integer that is 450240 that is divisible by both numbers.

Least Common Multiple (LCM) of 1340 and 1344 is 450240.

LCM(1340,1344) = 450240

LCM of 1340 and 1344

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

LCM of:
and

Least Common Multiple of 1340 and 1344

LCM of 1340 and 1344 is 450240

Least common multiple can be found by multiplying the highest exponent prime factors of 1340 and 1344. First we will calculate the prime factors of 1340 and 1344.

Prime Factorization of 1340


2 1340
2 670
5 335
67 67
1

Prime factors of 1340 are 2, 5,67. Prime factorization of 1340 in exponential form is:

1340 = 22×51×671

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 1340 and 1344.

LCM(1340,1344) = 26×31×51×71×671
LCM(1340,1344) = 450240

Factors of 1340

List of positive integer factors of 1340 that divides 1340 without a remainder.

1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340

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 1340 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 1340 and 1344, than apply into the LCM equation.

GCF(1340,1344) = 4
LCM(1340,1344) = ( 1340 × 1344) / 4
LCM(1340,1344) = 1800960 / 4
LCM(1340,1344) = 450240

Properties of LCM 1340 and 1344

(i) The LCM of 1344 and 1340 is associative

LCM of 1340 and 1344 = LCM of 1344 and 1340

Related Least Common Multiples of 1340

Related Least Common Multiples of 1344

Frequently Asked Questions on LCM of 1340 and 1344

1. What is the LCM of 1340 and 1344?

Answer: LCM of 1340 and 1344 is 450240.

2. What are the Factors of 1340?

Answer: Factors of 1340 are 1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340. There are 12 integers that are factors of 1340. The greatest factor of 1340 is 1340.

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 1340 and 1344?

Answer:

Least Common Multiple of 1340 and 1344 = 450240

Step 1: Find the prime factorization of 1340

1340 = 2 x 2 x 5 x 67

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 = 450240 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 67

Step 4: Therefore, the least common multiple of 1340 and 1344 is 450240.