Least Common Multiple of 1126 and 1131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1126 and 1131 the smallest integer that is 1273506 that is divisible by both numbers.

Least Common Multiple (LCM) of 1126 and 1131 is 1273506.

LCM(1126,1131) = 1273506

LCM of 1126 and 1131

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

LCM of:
and

Least Common Multiple of 1126 and 1131

LCM of 1126 and 1131 is 1273506

Least common multiple can be found by multiplying the highest exponent prime factors of 1126 and 1131. First we will calculate the prime factors of 1126 and 1131.

Prime Factorization of 1126


2 1126
563 563
1

Prime factors of 1126 are 2,563. Prime factorization of 1126 in exponential form is:

1126 = 21×5631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1126 and 1131.

LCM(1126,1131) = 21×31×131×291×5631
LCM(1126,1131) = 1273506

Factors of 1126

List of positive integer factors of 1126 that divides 1126 without a remainder.

1, 2, 563, 1126

Factors of 1131

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

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

Least Common Multiple of 1126 and 1131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1126 and 1131, than apply into the LCM equation.

GCF(1126,1131) = 1
LCM(1126,1131) = ( 1126 × 1131) / 1
LCM(1126,1131) = 1273506 / 1
LCM(1126,1131) = 1273506

Properties of LCM 1126 and 1131

(i) The LCM of 1131 and 1126 is associative

LCM of 1126 and 1131 = LCM of 1131 and 1126

Related Least Common Multiples of 1126

Related Least Common Multiples of 1131

Frequently Asked Questions on LCM of 1126 and 1131

1. What is the LCM of 1126 and 1131?

Answer: LCM of 1126 and 1131 is 1273506.

2. What are the Factors of 1126?

Answer: Factors of 1126 are 1, 2, 563, 1126. There are 4 integers that are factors of 1126. The greatest factor of 1126 is 1126.

3. 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.

4. How to Find the LCM of 1126 and 1131?

Answer:

Least Common Multiple of 1126 and 1131 = 1273506

Step 1: Find the prime factorization of 1126

1126 = 2 x 563

Step 2: Find the prime factorization of 1131

1131 = 3 x 13 x 29

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

LCM = 1273506 = 2 x 3 x 13 x 29 x 563

Step 4: Therefore, the least common multiple of 1126 and 1131 is 1273506.