Least Common Multiple of 1316 and 1323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1316 and 1323 the smallest integer that is 248724 that is divisible by both numbers.

Least Common Multiple (LCM) of 1316 and 1323 is 248724.

LCM(1316,1323) = 248724

LCM of 1316 and 1323

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

LCM of:
and

Least Common Multiple of 1316 and 1323

LCM of 1316 and 1323 is 248724

Least common multiple can be found by multiplying the highest exponent prime factors of 1316 and 1323. First we will calculate the prime factors of 1316 and 1323.

Prime Factorization of 1316


2 1316
2 658
7 329
47 47
1

Prime factors of 1316 are 2, 7,47. Prime factorization of 1316 in exponential form is:

1316 = 22×71×471

Prime Factorization of 1323


3 1323
3 441
3 147
7 49
7 7
1

Prime factors of 1323 are 3,7. Prime factorization of 1323 in exponential form is:

1323 = 33×72

Now multiplying the highest exponent prime factors to calculate the LCM of 1316 and 1323.

LCM(1316,1323) = 22×33×72×471
LCM(1316,1323) = 248724

Factors of 1316

List of positive integer factors of 1316 that divides 1316 without a remainder.

1, 2, 4, 7, 14, 28, 47, 94, 188, 329, 658, 1316

Factors of 1323

List of positive integer factors of 1323 that divides 1323 without a remainder.

1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323

Least Common Multiple of 1316 and 1323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1316 and 1323, than apply into the LCM equation.

GCF(1316,1323) = 7
LCM(1316,1323) = ( 1316 × 1323) / 7
LCM(1316,1323) = 1741068 / 7
LCM(1316,1323) = 248724

Properties of LCM 1316 and 1323

(i) The LCM of 1323 and 1316 is associative

LCM of 1316 and 1323 = LCM of 1323 and 1316

Related Least Common Multiples of 1316

Related Least Common Multiples of 1323

Frequently Asked Questions on LCM of 1316 and 1323

1. What is the LCM of 1316 and 1323?

Answer: LCM of 1316 and 1323 is 248724.

2. What are the Factors of 1316?

Answer: Factors of 1316 are 1, 2, 4, 7, 14, 28, 47, 94, 188, 329, 658, 1316. There are 12 integers that are factors of 1316. The greatest factor of 1316 is 1316.

3. What are the Factors of 1323?

Answer: Factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323. There are 12 integers that are factors of 1323. The greatest factor of 1323 is 1323.

4. How to Find the LCM of 1316 and 1323?

Answer:

Least Common Multiple of 1316 and 1323 = 248724

Step 1: Find the prime factorization of 1316

1316 = 2 x 2 x 7 x 47

Step 2: Find the prime factorization of 1323

1323 = 3 x 3 x 3 x 7 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 = 248724 = 2 x 2 x 3 x 3 x 3 x 7 x 7 x 47

Step 4: Therefore, the least common multiple of 1316 and 1323 is 248724.