Least Common Multiple of 1132 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 1132 and 1136 the smallest integer that is 321488 that is divisible by both numbers.

Least Common Multiple (LCM) of 1132 and 1136 is 321488.

LCM(1132,1136) = 321488

LCM of 1132 and 1136

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

LCM of:
and

Least Common Multiple of 1132 and 1136

LCM of 1132 and 1136 is 321488

Least common multiple can be found by multiplying the highest exponent prime factors of 1132 and 1136. First we will calculate the prime factors of 1132 and 1136.

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

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 1132 and 1136.

LCM(1132,1136) = 24×711×2831
LCM(1132,1136) = 321488

Factors of 1132

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

1, 2, 4, 283, 566, 1132

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 1132 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 1132 and 1136, than apply into the LCM equation.

GCF(1132,1136) = 4
LCM(1132,1136) = ( 1132 × 1136) / 4
LCM(1132,1136) = 1285952 / 4
LCM(1132,1136) = 321488

Properties of LCM 1132 and 1136

(i) The LCM of 1136 and 1132 is associative

LCM of 1132 and 1136 = LCM of 1136 and 1132

Related Least Common Multiples of 1132

Related Least Common Multiples of 1136

Frequently Asked Questions on LCM of 1132 and 1136

1. What is the LCM of 1132 and 1136?

Answer: LCM of 1132 and 1136 is 321488.

2. 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.

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 1132 and 1136?

Answer:

Least Common Multiple of 1132 and 1136 = 321488

Step 1: Find the prime factorization of 1132

1132 = 2 x 2 x 283

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 = 321488 = 2 x 2 x 2 x 2 x 71 x 283

Step 4: Therefore, the least common multiple of 1132 and 1136 is 321488.