Least Common Multiple of 1296 and 1303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1296 and 1303 the smallest integer that is 1688688 that is divisible by both numbers.

Least Common Multiple (LCM) of 1296 and 1303 is 1688688.

LCM(1296,1303) = 1688688

LCM of 1296 and 1303

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

LCM of:
and

Least Common Multiple of 1296 and 1303

LCM of 1296 and 1303 is 1688688

Least common multiple can be found by multiplying the highest exponent prime factors of 1296 and 1303. First we will calculate the prime factors of 1296 and 1303.

Prime Factorization of 1296


2 1296
2 648
2 324
2 162
3 81
3 27
3 9
3 3
1

Prime factors of 1296 are 2,3. Prime factorization of 1296 in exponential form is:

1296 = 24×34

Prime Factorization of 1303


1303 1303
1

Prime factors of 1303 are 1303. Prime factorization of 1303 in exponential form is:

1303 = 13031

Now multiplying the highest exponent prime factors to calculate the LCM of 1296 and 1303.

LCM(1296,1303) = 24×34×13031
LCM(1296,1303) = 1688688

Factors of 1296

List of positive integer factors of 1296 that divides 1296 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 324, 432, 648, 1296

Factors of 1303

List of positive integer factors of 1303 that divides 1303 without a remainder.

1, 1303

Least Common Multiple of 1296 and 1303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1296 and 1303, than apply into the LCM equation.

GCF(1296,1303) = 1
LCM(1296,1303) = ( 1296 × 1303) / 1
LCM(1296,1303) = 1688688 / 1
LCM(1296,1303) = 1688688

Properties of LCM 1296 and 1303

(i) The LCM of 1303 and 1296 is associative

LCM of 1296 and 1303 = LCM of 1303 and 1296

Related Least Common Multiples of 1296

Related Least Common Multiples of 1303

Frequently Asked Questions on LCM of 1296 and 1303

1. What is the LCM of 1296 and 1303?

Answer: LCM of 1296 and 1303 is 1688688.

2. What are the Factors of 1296?

Answer: Factors of 1296 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 324, 432, 648, 1296. There are 25 integers that are factors of 1296. The greatest factor of 1296 is 1296.

3. What are the Factors of 1303?

Answer: Factors of 1303 are 1, 1303. There are 2 integers that are factors of 1303. The greatest factor of 1303 is 1303.

4. How to Find the LCM of 1296 and 1303?

Answer:

Least Common Multiple of 1296 and 1303 = 1688688

Step 1: Find the prime factorization of 1296

1296 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 1303

1303 = 1303

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

LCM = 1688688 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 1303

Step 4: Therefore, the least common multiple of 1296 and 1303 is 1688688.