Least Common Multiple of 1118 and 1122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1118 and 1122 the smallest integer that is 627198 that is divisible by both numbers.

Least Common Multiple (LCM) of 1118 and 1122 is 627198.

LCM(1118,1122) = 627198

LCM of 1118 and 1122

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

LCM of:
and

Least Common Multiple of 1118 and 1122

LCM of 1118 and 1122 is 627198

Least common multiple can be found by multiplying the highest exponent prime factors of 1118 and 1122. First we will calculate the prime factors of 1118 and 1122.

Prime Factorization of 1118


2 1118
13 559
43 43
1

Prime factors of 1118 are 2, 13,43. Prime factorization of 1118 in exponential form is:

1118 = 21×131×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1118 and 1122.

LCM(1118,1122) = 21×31×111×131×171×431
LCM(1118,1122) = 627198

Factors of 1118

List of positive integer factors of 1118 that divides 1118 without a remainder.

1, 2, 13, 26, 43, 86, 559, 1118

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

Least Common Multiple of 1118 and 1122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1118 and 1122, than apply into the LCM equation.

GCF(1118,1122) = 2
LCM(1118,1122) = ( 1118 × 1122) / 2
LCM(1118,1122) = 1254396 / 2
LCM(1118,1122) = 627198

Properties of LCM 1118 and 1122

(i) The LCM of 1122 and 1118 is associative

LCM of 1118 and 1122 = LCM of 1122 and 1118

Related Least Common Multiples of 1118

Related Least Common Multiples of 1122

Frequently Asked Questions on LCM of 1118 and 1122

1. What is the LCM of 1118 and 1122?

Answer: LCM of 1118 and 1122 is 627198.

2. What are the Factors of 1118?

Answer: Factors of 1118 are 1, 2, 13, 26, 43, 86, 559, 1118. There are 8 integers that are factors of 1118. The greatest factor of 1118 is 1118.

3. 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.

4. How to Find the LCM of 1118 and 1122?

Answer:

Least Common Multiple of 1118 and 1122 = 627198

Step 1: Find the prime factorization of 1118

1118 = 2 x 13 x 43

Step 2: Find the prime factorization of 1122

1122 = 2 x 3 x 11 x 17

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

LCM = 627198 = 2 x 3 x 11 x 13 x 17 x 43

Step 4: Therefore, the least common multiple of 1118 and 1122 is 627198.