Least Common Multiple of 1138 and 1143

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 1143 the smallest integer that is 1300734 that is divisible by both numbers.

Least Common Multiple (LCM) of 1138 and 1143 is 1300734.

LCM(1138,1143) = 1300734

LCM of 1138 and 1143

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

LCM of:
and

Least Common Multiple of 1138 and 1143

LCM of 1138 and 1143 is 1300734

Least common multiple can be found by multiplying the highest exponent prime factors of 1138 and 1143. First we will calculate the prime factors of 1138 and 1143.

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 1143


3 1143
3 381
127 127
1

Prime factors of 1143 are 3,127. Prime factorization of 1143 in exponential form is:

1143 = 32×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 1138 and 1143.

LCM(1138,1143) = 21×32×1271×5691
LCM(1138,1143) = 1300734

Factors of 1138

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

1, 2, 569, 1138

Factors of 1143

List of positive integer factors of 1143 that divides 1143 without a remainder.

1, 3, 9, 127, 381, 1143

Least Common Multiple of 1138 and 1143 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 1143, than apply into the LCM equation.

GCF(1138,1143) = 1
LCM(1138,1143) = ( 1138 × 1143) / 1
LCM(1138,1143) = 1300734 / 1
LCM(1138,1143) = 1300734

Properties of LCM 1138 and 1143

(i) The LCM of 1143 and 1138 is associative

LCM of 1138 and 1143 = LCM of 1143 and 1138

Related Least Common Multiples of 1138

Related Least Common Multiples of 1143

Frequently Asked Questions on LCM of 1138 and 1143

1. What is the LCM of 1138 and 1143?

Answer: LCM of 1138 and 1143 is 1300734.

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 1143?

Answer: Factors of 1143 are 1, 3, 9, 127, 381, 1143. There are 6 integers that are factors of 1143. The greatest factor of 1143 is 1143.

4. How to Find the LCM of 1138 and 1143?

Answer:

Least Common Multiple of 1138 and 1143 = 1300734

Step 1: Find the prime factorization of 1138

1138 = 2 x 569

Step 2: Find the prime factorization of 1143

1143 = 3 x 3 x 127

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

LCM = 1300734 = 2 x 3 x 3 x 127 x 569

Step 4: Therefore, the least common multiple of 1138 and 1143 is 1300734.