Least Common Multiple of 1132 and 1140

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 1140 the smallest integer that is 322620 that is divisible by both numbers.

Least Common Multiple (LCM) of 1132 and 1140 is 322620.

LCM(1132,1140) = 322620

LCM of 1132 and 1140

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

LCM of:
and

Least Common Multiple of 1132 and 1140

LCM of 1132 and 1140 is 322620

Least common multiple can be found by multiplying the highest exponent prime factors of 1132 and 1140. First we will calculate the prime factors of 1132 and 1140.

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 1140


2 1140
2 570
3 285
5 95
19 19
1

Prime factors of 1140 are 2, 3, 5,19. Prime factorization of 1140 in exponential form is:

1140 = 22×31×51×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1132 and 1140.

LCM(1132,1140) = 22×31×51×191×2831
LCM(1132,1140) = 322620

Factors of 1132

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

1, 2, 4, 283, 566, 1132

Factors of 1140

List of positive integer factors of 1140 that divides 1140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140

Least Common Multiple of 1132 and 1140 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 1140, than apply into the LCM equation.

GCF(1132,1140) = 4
LCM(1132,1140) = ( 1132 × 1140) / 4
LCM(1132,1140) = 1290480 / 4
LCM(1132,1140) = 322620

Properties of LCM 1132 and 1140

(i) The LCM of 1140 and 1132 is associative

LCM of 1132 and 1140 = LCM of 1140 and 1132

Related Least Common Multiples of 1132

Related Least Common Multiples of 1140

Frequently Asked Questions on LCM of 1132 and 1140

1. What is the LCM of 1132 and 1140?

Answer: LCM of 1132 and 1140 is 322620.

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 1140?

Answer: Factors of 1140 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140. There are 24 integers that are factors of 1140. The greatest factor of 1140 is 1140.

4. How to Find the LCM of 1132 and 1140?

Answer:

Least Common Multiple of 1132 and 1140 = 322620

Step 1: Find the prime factorization of 1132

1132 = 2 x 2 x 283

Step 2: Find the prime factorization of 1140

1140 = 2 x 2 x 3 x 5 x 19

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

LCM = 322620 = 2 x 2 x 3 x 5 x 19 x 283

Step 4: Therefore, the least common multiple of 1132 and 1140 is 322620.