Least Common Multiple of 1344 and 1352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1344 and 1352 the smallest integer that is 227136 that is divisible by both numbers.

Least Common Multiple (LCM) of 1344 and 1352 is 227136.

LCM(1344,1352) = 227136

LCM of 1344 and 1352

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

LCM of:
and

Least Common Multiple of 1344 and 1352

LCM of 1344 and 1352 is 227136

Least common multiple can be found by multiplying the highest exponent prime factors of 1344 and 1352. First we will calculate the prime factors of 1344 and 1352.

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

Prime Factorization of 1352


2 1352
2 676
2 338
13 169
13 13
1

Prime factors of 1352 are 2,13. Prime factorization of 1352 in exponential form is:

1352 = 23×132

Now multiplying the highest exponent prime factors to calculate the LCM of 1344 and 1352.

LCM(1344,1352) = 26×31×71×132
LCM(1344,1352) = 227136

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

Factors of 1352

List of positive integer factors of 1352 that divides 1352 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352

Least Common Multiple of 1344 and 1352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1344 and 1352, than apply into the LCM equation.

GCF(1344,1352) = 8
LCM(1344,1352) = ( 1344 × 1352) / 8
LCM(1344,1352) = 1817088 / 8
LCM(1344,1352) = 227136

Properties of LCM 1344 and 1352

(i) The LCM of 1352 and 1344 is associative

LCM of 1344 and 1352 = LCM of 1352 and 1344

Related Least Common Multiples of 1344

Related Least Common Multiples of 1352

Frequently Asked Questions on LCM of 1344 and 1352

1. What is the LCM of 1344 and 1352?

Answer: LCM of 1344 and 1352 is 227136.

2. 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.

3. What are the Factors of 1352?

Answer: Factors of 1352 are 1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352. There are 12 integers that are factors of 1352. The greatest factor of 1352 is 1352.

4. How to Find the LCM of 1344 and 1352?

Answer:

Least Common Multiple of 1344 and 1352 = 227136

Step 1: Find the prime factorization of 1344

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

Step 2: Find the prime factorization of 1352

1352 = 2 x 2 x 2 x 13 x 13

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

LCM = 227136 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 13

Step 4: Therefore, the least common multiple of 1344 and 1352 is 227136.