Least Common Multiple of 1122 and 1129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1122 and 1129 the smallest integer that is 1266738 that is divisible by both numbers.

Least Common Multiple (LCM) of 1122 and 1129 is 1266738.

LCM(1122,1129) = 1266738

LCM of 1122 and 1129

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

LCM of:
and

Least Common Multiple of 1122 and 1129

LCM of 1122 and 1129 is 1266738

Least common multiple can be found by multiplying the highest exponent prime factors of 1122 and 1129. First we will calculate the prime factors of 1122 and 1129.

Prime Factorization of 1122


2 1122
3 561
11 187
17 17
1

Prime factors of 1122 are 2, 3, 11,17. Prime factorization of 1122 in exponential form is:

1122 = 21×31×111×171

Prime Factorization of 1129


1129 1129
1

Prime factors of 1129 are 1129. Prime factorization of 1129 in exponential form is:

1129 = 11291

Now multiplying the highest exponent prime factors to calculate the LCM of 1122 and 1129.

LCM(1122,1129) = 21×31×111×171×11291
LCM(1122,1129) = 1266738

Factors of 1122

List of positive integer factors of 1122 that divides 1122 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561, 1122

Factors of 1129

List of positive integer factors of 1129 that divides 1129 without a remainder.

1, 1129

Least Common Multiple of 1122 and 1129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1122 and 1129, than apply into the LCM equation.

GCF(1122,1129) = 1
LCM(1122,1129) = ( 1122 × 1129) / 1
LCM(1122,1129) = 1266738 / 1
LCM(1122,1129) = 1266738

Properties of LCM 1122 and 1129

(i) The LCM of 1129 and 1122 is associative

LCM of 1122 and 1129 = LCM of 1129 and 1122

Related Least Common Multiples of 1122

Related Least Common Multiples of 1129

Frequently Asked Questions on LCM of 1122 and 1129

1. What is the LCM of 1122 and 1129?

Answer: LCM of 1122 and 1129 is 1266738.

2. What are the Factors of 1122?

Answer: Factors of 1122 are 1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561, 1122. There are 16 integers that are factors of 1122. The greatest factor of 1122 is 1122.

3. What are the Factors of 1129?

Answer: Factors of 1129 are 1, 1129. There are 2 integers that are factors of 1129. The greatest factor of 1129 is 1129.

4. How to Find the LCM of 1122 and 1129?

Answer:

Least Common Multiple of 1122 and 1129 = 1266738

Step 1: Find the prime factorization of 1122

1122 = 2 x 3 x 11 x 17

Step 2: Find the prime factorization of 1129

1129 = 1129

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

LCM = 1266738 = 2 x 3 x 11 x 17 x 1129

Step 4: Therefore, the least common multiple of 1122 and 1129 is 1266738.