Least Common Multiple of 1124 and 1131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1124 and 1131 the smallest integer that is 1271244 that is divisible by both numbers.

Least Common Multiple (LCM) of 1124 and 1131 is 1271244.

LCM(1124,1131) = 1271244

LCM of 1124 and 1131

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

LCM of:
and

Least Common Multiple of 1124 and 1131

LCM of 1124 and 1131 is 1271244

Least common multiple can be found by multiplying the highest exponent prime factors of 1124 and 1131. First we will calculate the prime factors of 1124 and 1131.

Prime Factorization of 1124


2 1124
2 562
281 281
1

Prime factors of 1124 are 2,281. Prime factorization of 1124 in exponential form is:

1124 = 22×2811

Prime Factorization of 1131


3 1131
13 377
29 29
1

Prime factors of 1131 are 3, 13,29. Prime factorization of 1131 in exponential form is:

1131 = 31×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1124 and 1131.

LCM(1124,1131) = 22×31×131×291×2811
LCM(1124,1131) = 1271244

Factors of 1124

List of positive integer factors of 1124 that divides 1124 without a remainder.

1, 2, 4, 281, 562, 1124

Factors of 1131

List of positive integer factors of 1131 that divides 1131 without a remainder.

1, 3, 13, 29, 39, 87, 377, 1131

Least Common Multiple of 1124 and 1131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1124 and 1131, than apply into the LCM equation.

GCF(1124,1131) = 1
LCM(1124,1131) = ( 1124 × 1131) / 1
LCM(1124,1131) = 1271244 / 1
LCM(1124,1131) = 1271244

Properties of LCM 1124 and 1131

(i) The LCM of 1131 and 1124 is associative

LCM of 1124 and 1131 = LCM of 1131 and 1124

Related Least Common Multiples of 1124

Related Least Common Multiples of 1131

Frequently Asked Questions on LCM of 1124 and 1131

1. What is the LCM of 1124 and 1131?

Answer: LCM of 1124 and 1131 is 1271244.

2. What are the Factors of 1124?

Answer: Factors of 1124 are 1, 2, 4, 281, 562, 1124. There are 6 integers that are factors of 1124. The greatest factor of 1124 is 1124.

3. What are the Factors of 1131?

Answer: Factors of 1131 are 1, 3, 13, 29, 39, 87, 377, 1131. There are 8 integers that are factors of 1131. The greatest factor of 1131 is 1131.

4. How to Find the LCM of 1124 and 1131?

Answer:

Least Common Multiple of 1124 and 1131 = 1271244

Step 1: Find the prime factorization of 1124

1124 = 2 x 2 x 281

Step 2: Find the prime factorization of 1131

1131 = 3 x 13 x 29

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

LCM = 1271244 = 2 x 2 x 3 x 13 x 29 x 281

Step 4: Therefore, the least common multiple of 1124 and 1131 is 1271244.