Least Common Multiple of 1140 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 1140 and 1145 the smallest integer that is 261060 that is divisible by both numbers.

Least Common Multiple (LCM) of 1140 and 1145 is 261060.

LCM(1140,1145) = 261060

LCM of 1140 and 1145

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

LCM of:
and

Least Common Multiple of 1140 and 1145

LCM of 1140 and 1145 is 261060

Least common multiple can be found by multiplying the highest exponent prime factors of 1140 and 1145. First we will calculate the prime factors of 1140 and 1145.

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

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 1140 and 1145.

LCM(1140,1145) = 22×31×51×191×2291
LCM(1140,1145) = 261060

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

Factors of 1145

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

1, 5, 229, 1145

Least Common Multiple of 1140 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 1140 and 1145, than apply into the LCM equation.

GCF(1140,1145) = 5
LCM(1140,1145) = ( 1140 × 1145) / 5
LCM(1140,1145) = 1305300 / 5
LCM(1140,1145) = 261060

Properties of LCM 1140 and 1145

(i) The LCM of 1145 and 1140 is associative

LCM of 1140 and 1145 = LCM of 1145 and 1140

Related Least Common Multiples of 1140

Related Least Common Multiples of 1145

Frequently Asked Questions on LCM of 1140 and 1145

1. What is the LCM of 1140 and 1145?

Answer: LCM of 1140 and 1145 is 261060.

2. 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.

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 1140 and 1145?

Answer:

Least Common Multiple of 1140 and 1145 = 261060

Step 1: Find the prime factorization of 1140

1140 = 2 x 2 x 3 x 5 x 19

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 = 261060 = 2 x 2 x 3 x 5 x 19 x 229

Step 4: Therefore, the least common multiple of 1140 and 1145 is 261060.