Least Common Multiple of 1291 and 1296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1291 and 1296 the smallest integer that is 1673136 that is divisible by both numbers.

Least Common Multiple (LCM) of 1291 and 1296 is 1673136.

LCM(1291,1296) = 1673136

LCM of 1291 and 1296

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

LCM of:
and

Least Common Multiple of 1291 and 1296

LCM of 1291 and 1296 is 1673136

Least common multiple can be found by multiplying the highest exponent prime factors of 1291 and 1296. First we will calculate the prime factors of 1291 and 1296.

Prime Factorization of 1291


1291 1291
1

Prime factors of 1291 are 1291. Prime factorization of 1291 in exponential form is:

1291 = 12911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1291 and 1296.

LCM(1291,1296) = 24×34×12911
LCM(1291,1296) = 1673136

Factors of 1291

List of positive integer factors of 1291 that divides 1291 without a remainder.

1, 1291

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

Least Common Multiple of 1291 and 1296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1291 and 1296, than apply into the LCM equation.

GCF(1291,1296) = 1
LCM(1291,1296) = ( 1291 × 1296) / 1
LCM(1291,1296) = 1673136 / 1
LCM(1291,1296) = 1673136

Properties of LCM 1291 and 1296

(i) The LCM of 1296 and 1291 is associative

LCM of 1291 and 1296 = LCM of 1296 and 1291

Related Least Common Multiples of 1291

Related Least Common Multiples of 1296

Frequently Asked Questions on LCM of 1291 and 1296

1. What is the LCM of 1291 and 1296?

Answer: LCM of 1291 and 1296 is 1673136.

2. What are the Factors of 1291?

Answer: Factors of 1291 are 1, 1291. There are 2 integers that are factors of 1291. The greatest factor of 1291 is 1291.

3. 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.

4. How to Find the LCM of 1291 and 1296?

Answer:

Least Common Multiple of 1291 and 1296 = 1673136

Step 1: Find the prime factorization of 1291

1291 = 1291

Step 2: Find the prime factorization of 1296

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

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

LCM = 1673136 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 1291

Step 4: Therefore, the least common multiple of 1291 and 1296 is 1673136.