Least Common Multiple of 1131 and 1136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1131 and 1136 the smallest integer that is 1284816 that is divisible by both numbers.

Least Common Multiple (LCM) of 1131 and 1136 is 1284816.

LCM(1131,1136) = 1284816

LCM of 1131 and 1136

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

LCM of:
and

Least Common Multiple of 1131 and 1136

LCM of 1131 and 1136 is 1284816

Least common multiple can be found by multiplying the highest exponent prime factors of 1131 and 1136. First we will calculate the prime factors of 1131 and 1136.

Prime Factorization of 1131


3 1131
13 377
29 29
1

Prime factors of 1131 are 3, 13,29. Prime factorization of 1131 in exponential form is:

1131 = 31×131×291

Prime Factorization of 1136


2 1136
2 568
2 284
2 142
71 71
1

Prime factors of 1136 are 2,71. Prime factorization of 1136 in exponential form is:

1136 = 24×711

Now multiplying the highest exponent prime factors to calculate the LCM of 1131 and 1136.

LCM(1131,1136) = 24×31×131×291×711
LCM(1131,1136) = 1284816

Factors of 1131

List of positive integer factors of 1131 that divides 1131 without a remainder.

1, 3, 13, 29, 39, 87, 377, 1131

Factors of 1136

List of positive integer factors of 1136 that divides 1136 without a remainder.

1, 2, 4, 8, 16, 71, 142, 284, 568, 1136

Least Common Multiple of 1131 and 1136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1131 and 1136, than apply into the LCM equation.

GCF(1131,1136) = 1
LCM(1131,1136) = ( 1131 × 1136) / 1
LCM(1131,1136) = 1284816 / 1
LCM(1131,1136) = 1284816

Properties of LCM 1131 and 1136

(i) The LCM of 1136 and 1131 is associative

LCM of 1131 and 1136 = LCM of 1136 and 1131

Related Least Common Multiples of 1131

Related Least Common Multiples of 1136

Frequently Asked Questions on LCM of 1131 and 1136

1. What is the LCM of 1131 and 1136?

Answer: LCM of 1131 and 1136 is 1284816.

2. What are the Factors of 1131?

Answer: Factors of 1131 are 1, 3, 13, 29, 39, 87, 377, 1131. There are 8 integers that are factors of 1131. The greatest factor of 1131 is 1131.

3. What are the Factors of 1136?

Answer: Factors of 1136 are 1, 2, 4, 8, 16, 71, 142, 284, 568, 1136. There are 10 integers that are factors of 1136. The greatest factor of 1136 is 1136.

4. How to Find the LCM of 1131 and 1136?

Answer:

Least Common Multiple of 1131 and 1136 = 1284816

Step 1: Find the prime factorization of 1131

1131 = 3 x 13 x 29

Step 2: Find the prime factorization of 1136

1136 = 2 x 2 x 2 x 2 x 71

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

LCM = 1284816 = 2 x 2 x 2 x 2 x 3 x 13 x 29 x 71

Step 4: Therefore, the least common multiple of 1131 and 1136 is 1284816.