Least Common Multiple of 1126 and 1132

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 1132 the smallest integer that is 637316 that is divisible by both numbers.

Least Common Multiple (LCM) of 1126 and 1132 is 637316.

LCM(1126,1132) = 637316

LCM of 1126 and 1132

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

LCM of:
and

Least Common Multiple of 1126 and 1132

LCM of 1126 and 1132 is 637316

Least common multiple can be found by multiplying the highest exponent prime factors of 1126 and 1132. First we will calculate the prime factors of 1126 and 1132.

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 1132


2 1132
2 566
283 283
1

Prime factors of 1132 are 2,283. Prime factorization of 1132 in exponential form is:

1132 = 22×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 1126 and 1132.

LCM(1126,1132) = 22×2831×5631
LCM(1126,1132) = 637316

Factors of 1126

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

1, 2, 563, 1126

Factors of 1132

List of positive integer factors of 1132 that divides 1132 without a remainder.

1, 2, 4, 283, 566, 1132

Least Common Multiple of 1126 and 1132 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 1132, than apply into the LCM equation.

GCF(1126,1132) = 2
LCM(1126,1132) = ( 1126 × 1132) / 2
LCM(1126,1132) = 1274632 / 2
LCM(1126,1132) = 637316

Properties of LCM 1126 and 1132

(i) The LCM of 1132 and 1126 is associative

LCM of 1126 and 1132 = LCM of 1132 and 1126

Related Least Common Multiples of 1126

Related Least Common Multiples of 1132

Frequently Asked Questions on LCM of 1126 and 1132

1. What is the LCM of 1126 and 1132?

Answer: LCM of 1126 and 1132 is 637316.

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 1132?

Answer: Factors of 1132 are 1, 2, 4, 283, 566, 1132. There are 6 integers that are factors of 1132. The greatest factor of 1132 is 1132.

4. How to Find the LCM of 1126 and 1132?

Answer:

Least Common Multiple of 1126 and 1132 = 637316

Step 1: Find the prime factorization of 1126

1126 = 2 x 563

Step 2: Find the prime factorization of 1132

1132 = 2 x 2 x 283

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

LCM = 637316 = 2 x 2 x 283 x 563

Step 4: Therefore, the least common multiple of 1126 and 1132 is 637316.