Least Common Multiple of 1145 and 1150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1145 and 1150 the smallest integer that is 263350 that is divisible by both numbers.

Least Common Multiple (LCM) of 1145 and 1150 is 263350.

LCM(1145,1150) = 263350

LCM of 1145 and 1150

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

LCM of:
and

Least Common Multiple of 1145 and 1150

LCM of 1145 and 1150 is 263350

Least common multiple can be found by multiplying the highest exponent prime factors of 1145 and 1150. First we will calculate the prime factors of 1145 and 1150.

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

Prime Factorization of 1150


2 1150
5 575
5 115
23 23
1

Prime factors of 1150 are 2, 5,23. Prime factorization of 1150 in exponential form is:

1150 = 21×52×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1145 and 1150.

LCM(1145,1150) = 21×52×231×2291
LCM(1145,1150) = 263350

Factors of 1145

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

1, 5, 229, 1145

Factors of 1150

List of positive integer factors of 1150 that divides 1150 without a remainder.

1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150

Least Common Multiple of 1145 and 1150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1145 and 1150, than apply into the LCM equation.

GCF(1145,1150) = 5
LCM(1145,1150) = ( 1145 × 1150) / 5
LCM(1145,1150) = 1316750 / 5
LCM(1145,1150) = 263350

Properties of LCM 1145 and 1150

(i) The LCM of 1150 and 1145 is associative

LCM of 1145 and 1150 = LCM of 1150 and 1145

Related Least Common Multiples of 1145

Related Least Common Multiples of 1150

Frequently Asked Questions on LCM of 1145 and 1150

1. What is the LCM of 1145 and 1150?

Answer: LCM of 1145 and 1150 is 263350.

2. 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.

3. What are the Factors of 1150?

Answer: Factors of 1150 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150. There are 12 integers that are factors of 1150. The greatest factor of 1150 is 1150.

4. How to Find the LCM of 1145 and 1150?

Answer:

Least Common Multiple of 1145 and 1150 = 263350

Step 1: Find the prime factorization of 1145

1145 = 5 x 229

Step 2: Find the prime factorization of 1150

1150 = 2 x 5 x 5 x 23

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

LCM = 263350 = 2 x 5 x 5 x 23 x 229

Step 4: Therefore, the least common multiple of 1145 and 1150 is 263350.