Least Common Multiple of 1144 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 1144 and 1150 the smallest integer that is 657800 that is divisible by both numbers.

Least Common Multiple (LCM) of 1144 and 1150 is 657800.

LCM(1144,1150) = 657800

LCM of 1144 and 1150

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

LCM of:
and

Least Common Multiple of 1144 and 1150

LCM of 1144 and 1150 is 657800

Least common multiple can be found by multiplying the highest exponent prime factors of 1144 and 1150. First we will calculate the prime factors of 1144 and 1150.

Prime Factorization of 1144


2 1144
2 572
2 286
11 143
13 13
1

Prime factors of 1144 are 2, 11,13. Prime factorization of 1144 in exponential form is:

1144 = 23×111×131

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 1144 and 1150.

LCM(1144,1150) = 23×52×111×131×231
LCM(1144,1150) = 657800

Factors of 1144

List of positive integer factors of 1144 that divides 1144 without a remainder.

1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144

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 1144 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 1144 and 1150, than apply into the LCM equation.

GCF(1144,1150) = 2
LCM(1144,1150) = ( 1144 × 1150) / 2
LCM(1144,1150) = 1315600 / 2
LCM(1144,1150) = 657800

Properties of LCM 1144 and 1150

(i) The LCM of 1150 and 1144 is associative

LCM of 1144 and 1150 = LCM of 1150 and 1144

Related Least Common Multiples of 1144

Related Least Common Multiples of 1150

Frequently Asked Questions on LCM of 1144 and 1150

1. What is the LCM of 1144 and 1150?

Answer: LCM of 1144 and 1150 is 657800.

2. What are the Factors of 1144?

Answer: Factors of 1144 are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144. There are 16 integers that are factors of 1144. The greatest factor of 1144 is 1144.

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 1144 and 1150?

Answer:

Least Common Multiple of 1144 and 1150 = 657800

Step 1: Find the prime factorization of 1144

1144 = 2 x 2 x 2 x 11 x 13

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 = 657800 = 2 x 2 x 2 x 5 x 5 x 11 x 13 x 23

Step 4: Therefore, the least common multiple of 1144 and 1150 is 657800.