Least Common Multiple of 1132 and 1134

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 1134 the smallest integer that is 641844 that is divisible by both numbers.

Least Common Multiple (LCM) of 1132 and 1134 is 641844.

LCM(1132,1134) = 641844

LCM of 1132 and 1134

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

LCM of:
and

Least Common Multiple of 1132 and 1134

LCM of 1132 and 1134 is 641844

Least common multiple can be found by multiplying the highest exponent prime factors of 1132 and 1134. First we will calculate the prime factors of 1132 and 1134.

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 1134


2 1134
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 1134 are 2, 3,7. Prime factorization of 1134 in exponential form is:

1134 = 21×34×71

Now multiplying the highest exponent prime factors to calculate the LCM of 1132 and 1134.

LCM(1132,1134) = 22×34×71×2831
LCM(1132,1134) = 641844

Factors of 1132

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

1, 2, 4, 283, 566, 1132

Factors of 1134

List of positive integer factors of 1134 that divides 1134 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567, 1134

Least Common Multiple of 1132 and 1134 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 1134, than apply into the LCM equation.

GCF(1132,1134) = 2
LCM(1132,1134) = ( 1132 × 1134) / 2
LCM(1132,1134) = 1283688 / 2
LCM(1132,1134) = 641844

Properties of LCM 1132 and 1134

(i) The LCM of 1134 and 1132 is associative

LCM of 1132 and 1134 = LCM of 1134 and 1132

Related Least Common Multiples of 1132

Related Least Common Multiples of 1134

Frequently Asked Questions on LCM of 1132 and 1134

1. What is the LCM of 1132 and 1134?

Answer: LCM of 1132 and 1134 is 641844.

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 1134?

Answer: Factors of 1134 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567, 1134. There are 20 integers that are factors of 1134. The greatest factor of 1134 is 1134.

4. How to Find the LCM of 1132 and 1134?

Answer:

Least Common Multiple of 1132 and 1134 = 641844

Step 1: Find the prime factorization of 1132

1132 = 2 x 2 x 283

Step 2: Find the prime factorization of 1134

1134 = 2 x 3 x 3 x 3 x 3 x 7

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

LCM = 641844 = 2 x 2 x 3 x 3 x 3 x 3 x 7 x 283

Step 4: Therefore, the least common multiple of 1132 and 1134 is 641844.