Least Common Multiple of 1347 and 1353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1347 and 1353 the smallest integer that is 607497 that is divisible by both numbers.

Least Common Multiple (LCM) of 1347 and 1353 is 607497.

LCM(1347,1353) = 607497

LCM of 1347 and 1353

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

LCM of:
and

Least Common Multiple of 1347 and 1353

LCM of 1347 and 1353 is 607497

Least common multiple can be found by multiplying the highest exponent prime factors of 1347 and 1353. First we will calculate the prime factors of 1347 and 1353.

Prime Factorization of 1347


3 1347
449 449
1

Prime factors of 1347 are 3,449. Prime factorization of 1347 in exponential form is:

1347 = 31×4491

Prime Factorization of 1353


3 1353
11 451
41 41
1

Prime factors of 1353 are 3, 11,41. Prime factorization of 1353 in exponential form is:

1353 = 31×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 1347 and 1353.

LCM(1347,1353) = 31×111×411×4491
LCM(1347,1353) = 607497

Factors of 1347

List of positive integer factors of 1347 that divides 1347 without a remainder.

1, 3, 449, 1347

Factors of 1353

List of positive integer factors of 1353 that divides 1353 without a remainder.

1, 3, 11, 33, 41, 123, 451, 1353

Least Common Multiple of 1347 and 1353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1347 and 1353, than apply into the LCM equation.

GCF(1347,1353) = 3
LCM(1347,1353) = ( 1347 × 1353) / 3
LCM(1347,1353) = 1822491 / 3
LCM(1347,1353) = 607497

Properties of LCM 1347 and 1353

(i) The LCM of 1353 and 1347 is associative

LCM of 1347 and 1353 = LCM of 1353 and 1347

Related Least Common Multiples of 1347

Related Least Common Multiples of 1353

Frequently Asked Questions on LCM of 1347 and 1353

1. What is the LCM of 1347 and 1353?

Answer: LCM of 1347 and 1353 is 607497.

2. What are the Factors of 1347?

Answer: Factors of 1347 are 1, 3, 449, 1347. There are 4 integers that are factors of 1347. The greatest factor of 1347 is 1347.

3. What are the Factors of 1353?

Answer: Factors of 1353 are 1, 3, 11, 33, 41, 123, 451, 1353. There are 8 integers that are factors of 1353. The greatest factor of 1353 is 1353.

4. How to Find the LCM of 1347 and 1353?

Answer:

Least Common Multiple of 1347 and 1353 = 607497

Step 1: Find the prime factorization of 1347

1347 = 3 x 449

Step 2: Find the prime factorization of 1353

1353 = 3 x 11 x 41

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

LCM = 607497 = 3 x 11 x 41 x 449

Step 4: Therefore, the least common multiple of 1347 and 1353 is 607497.