Least Common Multiple of 1144 and 1149

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 1149 the smallest integer that is 1314456 that is divisible by both numbers.

Least Common Multiple (LCM) of 1144 and 1149 is 1314456.

LCM(1144,1149) = 1314456

LCM of 1144 and 1149

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

LCM of:
and

Least Common Multiple of 1144 and 1149

LCM of 1144 and 1149 is 1314456

Least common multiple can be found by multiplying the highest exponent prime factors of 1144 and 1149. First we will calculate the prime factors of 1144 and 1149.

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 1149


3 1149
383 383
1

Prime factors of 1149 are 3,383. Prime factorization of 1149 in exponential form is:

1149 = 31×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 1144 and 1149.

LCM(1144,1149) = 23×31×111×131×3831
LCM(1144,1149) = 1314456

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 1149

List of positive integer factors of 1149 that divides 1149 without a remainder.

1, 3, 383, 1149

Least Common Multiple of 1144 and 1149 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 1149, than apply into the LCM equation.

GCF(1144,1149) = 1
LCM(1144,1149) = ( 1144 × 1149) / 1
LCM(1144,1149) = 1314456 / 1
LCM(1144,1149) = 1314456

Properties of LCM 1144 and 1149

(i) The LCM of 1149 and 1144 is associative

LCM of 1144 and 1149 = LCM of 1149 and 1144

Related Least Common Multiples of 1144

Related Least Common Multiples of 1149

Frequently Asked Questions on LCM of 1144 and 1149

1. What is the LCM of 1144 and 1149?

Answer: LCM of 1144 and 1149 is 1314456.

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 1149?

Answer: Factors of 1149 are 1, 3, 383, 1149. There are 4 integers that are factors of 1149. The greatest factor of 1149 is 1149.

4. How to Find the LCM of 1144 and 1149?

Answer:

Least Common Multiple of 1144 and 1149 = 1314456

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 1149

1149 = 3 x 383

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

LCM = 1314456 = 2 x 2 x 2 x 3 x 11 x 13 x 383

Step 4: Therefore, the least common multiple of 1144 and 1149 is 1314456.