Least Common Multiple of 1138 and 1145

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 1145 the smallest integer that is 1303010 that is divisible by both numbers.

Least Common Multiple (LCM) of 1138 and 1145 is 1303010.

LCM(1138,1145) = 1303010

LCM of 1138 and 1145

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

LCM of:
and

Least Common Multiple of 1138 and 1145

LCM of 1138 and 1145 is 1303010

Least common multiple can be found by multiplying the highest exponent prime factors of 1138 and 1145. First we will calculate the prime factors of 1138 and 1145.

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 1145


5 1145
229 229
1

Prime factors of 1145 are 5,229. Prime factorization of 1145 in exponential form is:

1145 = 51×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 1138 and 1145.

LCM(1138,1145) = 21×51×2291×5691
LCM(1138,1145) = 1303010

Factors of 1138

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

1, 2, 569, 1138

Factors of 1145

List of positive integer factors of 1145 that divides 1145 without a remainder.

1, 5, 229, 1145

Least Common Multiple of 1138 and 1145 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 1145, than apply into the LCM equation.

GCF(1138,1145) = 1
LCM(1138,1145) = ( 1138 × 1145) / 1
LCM(1138,1145) = 1303010 / 1
LCM(1138,1145) = 1303010

Properties of LCM 1138 and 1145

(i) The LCM of 1145 and 1138 is associative

LCM of 1138 and 1145 = LCM of 1145 and 1138

Related Least Common Multiples of 1138

Related Least Common Multiples of 1145

Frequently Asked Questions on LCM of 1138 and 1145

1. What is the LCM of 1138 and 1145?

Answer: LCM of 1138 and 1145 is 1303010.

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 1145?

Answer: Factors of 1145 are 1, 5, 229, 1145. There are 4 integers that are factors of 1145. The greatest factor of 1145 is 1145.

4. How to Find the LCM of 1138 and 1145?

Answer:

Least Common Multiple of 1138 and 1145 = 1303010

Step 1: Find the prime factorization of 1138

1138 = 2 x 569

Step 2: Find the prime factorization of 1145

1145 = 5 x 229

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

LCM = 1303010 = 2 x 5 x 229 x 569

Step 4: Therefore, the least common multiple of 1138 and 1145 is 1303010.