Least Common Multiple of 1141 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 1141 and 1145 the smallest integer that is 1306445 that is divisible by both numbers.

Least Common Multiple (LCM) of 1141 and 1145 is 1306445.

LCM(1141,1145) = 1306445

LCM of 1141 and 1145

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

LCM of:
and

Least Common Multiple of 1141 and 1145

LCM of 1141 and 1145 is 1306445

Least common multiple can be found by multiplying the highest exponent prime factors of 1141 and 1145. First we will calculate the prime factors of 1141 and 1145.

Prime Factorization of 1141


7 1141
163 163
1

Prime factors of 1141 are 7,163. Prime factorization of 1141 in exponential form is:

1141 = 71×1631

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 1141 and 1145.

LCM(1141,1145) = 51×71×1631×2291
LCM(1141,1145) = 1306445

Factors of 1141

List of positive integer factors of 1141 that divides 1141 without a remainder.

1, 7, 163, 1141

Factors of 1145

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

1, 5, 229, 1145

Least Common Multiple of 1141 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 1141 and 1145, than apply into the LCM equation.

GCF(1141,1145) = 1
LCM(1141,1145) = ( 1141 × 1145) / 1
LCM(1141,1145) = 1306445 / 1
LCM(1141,1145) = 1306445

Properties of LCM 1141 and 1145

(i) The LCM of 1145 and 1141 is associative

LCM of 1141 and 1145 = LCM of 1145 and 1141

Related Least Common Multiples of 1141

Related Least Common Multiples of 1145

Frequently Asked Questions on LCM of 1141 and 1145

1. What is the LCM of 1141 and 1145?

Answer: LCM of 1141 and 1145 is 1306445.

2. What are the Factors of 1141?

Answer: Factors of 1141 are 1, 7, 163, 1141. There are 4 integers that are factors of 1141. The greatest factor of 1141 is 1141.

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 1141 and 1145?

Answer:

Least Common Multiple of 1141 and 1145 = 1306445

Step 1: Find the prime factorization of 1141

1141 = 7 x 163

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 = 1306445 = 5 x 7 x 163 x 229

Step 4: Therefore, the least common multiple of 1141 and 1145 is 1306445.