Least Common Multiple of 1144 and 1151

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 1151 the smallest integer that is 1316744 that is divisible by both numbers.

Least Common Multiple (LCM) of 1144 and 1151 is 1316744.

LCM(1144,1151) = 1316744

LCM of 1144 and 1151

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

LCM of:
and

Least Common Multiple of 1144 and 1151

LCM of 1144 and 1151 is 1316744

Least common multiple can be found by multiplying the highest exponent prime factors of 1144 and 1151. First we will calculate the prime factors of 1144 and 1151.

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 1151


1151 1151
1

Prime factors of 1151 are 1151. Prime factorization of 1151 in exponential form is:

1151 = 11511

Now multiplying the highest exponent prime factors to calculate the LCM of 1144 and 1151.

LCM(1144,1151) = 23×111×131×11511
LCM(1144,1151) = 1316744

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 1151

List of positive integer factors of 1151 that divides 1151 without a remainder.

1, 1151

Least Common Multiple of 1144 and 1151 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 1151, than apply into the LCM equation.

GCF(1144,1151) = 1
LCM(1144,1151) = ( 1144 × 1151) / 1
LCM(1144,1151) = 1316744 / 1
LCM(1144,1151) = 1316744

Properties of LCM 1144 and 1151

(i) The LCM of 1151 and 1144 is associative

LCM of 1144 and 1151 = LCM of 1151 and 1144

Related Least Common Multiples of 1144

Related Least Common Multiples of 1151

Frequently Asked Questions on LCM of 1144 and 1151

1. What is the LCM of 1144 and 1151?

Answer: LCM of 1144 and 1151 is 1316744.

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 1151?

Answer: Factors of 1151 are 1, 1151. There are 2 integers that are factors of 1151. The greatest factor of 1151 is 1151.

4. How to Find the LCM of 1144 and 1151?

Answer:

Least Common Multiple of 1144 and 1151 = 1316744

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 1151

1151 = 1151

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

LCM = 1316744 = 2 x 2 x 2 x 11 x 13 x 1151

Step 4: Therefore, the least common multiple of 1144 and 1151 is 1316744.