Least Common Multiple of 1138 and 1144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1138 and 1144 the smallest integer that is 650936 that is divisible by both numbers.

Least Common Multiple (LCM) of 1138 and 1144 is 650936.

LCM(1138,1144) = 650936

LCM of 1138 and 1144

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

LCM of:
and

Least Common Multiple of 1138 and 1144

LCM of 1138 and 1144 is 650936

Least common multiple can be found by multiplying the highest exponent prime factors of 1138 and 1144. First we will calculate the prime factors of 1138 and 1144.

Prime Factorization of 1138


2 1138
569 569
1

Prime factors of 1138 are 2,569. Prime factorization of 1138 in exponential form is:

1138 = 21×5691

Prime Factorization of 1144


2 1144
2 572
2 286
11 143
13 13
1

Prime factors of 1144 are 2, 11,13. Prime factorization of 1144 in exponential form is:

1144 = 23×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1138 and 1144.

LCM(1138,1144) = 23×111×131×5691
LCM(1138,1144) = 650936

Factors of 1138

List of positive integer factors of 1138 that divides 1138 without a remainder.

1, 2, 569, 1138

Factors of 1144

List of positive integer factors of 1144 that divides 1144 without a remainder.

1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144

Least Common Multiple of 1138 and 1144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1138 and 1144, than apply into the LCM equation.

GCF(1138,1144) = 2
LCM(1138,1144) = ( 1138 × 1144) / 2
LCM(1138,1144) = 1301872 / 2
LCM(1138,1144) = 650936

Properties of LCM 1138 and 1144

(i) The LCM of 1144 and 1138 is associative

LCM of 1138 and 1144 = LCM of 1144 and 1138

Related Least Common Multiples of 1138

Related Least Common Multiples of 1144

Frequently Asked Questions on LCM of 1138 and 1144

1. What is the LCM of 1138 and 1144?

Answer: LCM of 1138 and 1144 is 650936.

2. What are the Factors of 1138?

Answer: Factors of 1138 are 1, 2, 569, 1138. There are 4 integers that are factors of 1138. The greatest factor of 1138 is 1138.

3. What are the Factors of 1144?

Answer: Factors of 1144 are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144. There are 16 integers that are factors of 1144. The greatest factor of 1144 is 1144.

4. How to Find the LCM of 1138 and 1144?

Answer:

Least Common Multiple of 1138 and 1144 = 650936

Step 1: Find the prime factorization of 1138

1138 = 2 x 569

Step 2: Find the prime factorization of 1144

1144 = 2 x 2 x 2 x 11 x 13

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

LCM = 650936 = 2 x 2 x 2 x 11 x 13 x 569

Step 4: Therefore, the least common multiple of 1138 and 1144 is 650936.