Least Common Multiple of 1132 and 1139

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 1139 the smallest integer that is 1289348 that is divisible by both numbers.

Least Common Multiple (LCM) of 1132 and 1139 is 1289348.

LCM(1132,1139) = 1289348

LCM of 1132 and 1139

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

LCM of:
and

Least Common Multiple of 1132 and 1139

LCM of 1132 and 1139 is 1289348

Least common multiple can be found by multiplying the highest exponent prime factors of 1132 and 1139. First we will calculate the prime factors of 1132 and 1139.

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 1139


17 1139
67 67
1

Prime factors of 1139 are 17,67. Prime factorization of 1139 in exponential form is:

1139 = 171×671

Now multiplying the highest exponent prime factors to calculate the LCM of 1132 and 1139.

LCM(1132,1139) = 22×171×671×2831
LCM(1132,1139) = 1289348

Factors of 1132

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

1, 2, 4, 283, 566, 1132

Factors of 1139

List of positive integer factors of 1139 that divides 1139 without a remainder.

1, 17, 67, 1139

Least Common Multiple of 1132 and 1139 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 1139, than apply into the LCM equation.

GCF(1132,1139) = 1
LCM(1132,1139) = ( 1132 × 1139) / 1
LCM(1132,1139) = 1289348 / 1
LCM(1132,1139) = 1289348

Properties of LCM 1132 and 1139

(i) The LCM of 1139 and 1132 is associative

LCM of 1132 and 1139 = LCM of 1139 and 1132

Related Least Common Multiples of 1132

Related Least Common Multiples of 1139

Frequently Asked Questions on LCM of 1132 and 1139

1. What is the LCM of 1132 and 1139?

Answer: LCM of 1132 and 1139 is 1289348.

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 1139?

Answer: Factors of 1139 are 1, 17, 67, 1139. There are 4 integers that are factors of 1139. The greatest factor of 1139 is 1139.

4. How to Find the LCM of 1132 and 1139?

Answer:

Least Common Multiple of 1132 and 1139 = 1289348

Step 1: Find the prime factorization of 1132

1132 = 2 x 2 x 283

Step 2: Find the prime factorization of 1139

1139 = 17 x 67

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

LCM = 1289348 = 2 x 2 x 17 x 67 x 283

Step 4: Therefore, the least common multiple of 1132 and 1139 is 1289348.