Least Common Multiple of 1116 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 1116 and 1122 the smallest integer that is 208692 that is divisible by both numbers.

Least Common Multiple (LCM) of 1116 and 1122 is 208692.

LCM(1116,1122) = 208692

LCM of 1116 and 1122

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

LCM of:
and

Least Common Multiple of 1116 and 1122

LCM of 1116 and 1122 is 208692

Least common multiple can be found by multiplying the highest exponent prime factors of 1116 and 1122. First we will calculate the prime factors of 1116 and 1122.

Prime Factorization of 1116


2 1116
2 558
3 279
3 93
31 31
1

Prime factors of 1116 are 2, 3,31. Prime factorization of 1116 in exponential form is:

1116 = 22×32×311

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 1116 and 1122.

LCM(1116,1122) = 22×32×111×171×311
LCM(1116,1122) = 208692

Factors of 1116

List of positive integer factors of 1116 that divides 1116 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116

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 1116 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 1116 and 1122, than apply into the LCM equation.

GCF(1116,1122) = 6
LCM(1116,1122) = ( 1116 × 1122) / 6
LCM(1116,1122) = 1252152 / 6
LCM(1116,1122) = 208692

Properties of LCM 1116 and 1122

(i) The LCM of 1122 and 1116 is associative

LCM of 1116 and 1122 = LCM of 1122 and 1116

Related Least Common Multiples of 1116

Related Least Common Multiples of 1122

Frequently Asked Questions on LCM of 1116 and 1122

1. What is the LCM of 1116 and 1122?

Answer: LCM of 1116 and 1122 is 208692.

2. What are the Factors of 1116?

Answer: Factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116. There are 18 integers that are factors of 1116. The greatest factor of 1116 is 1116.

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 1116 and 1122?

Answer:

Least Common Multiple of 1116 and 1122 = 208692

Step 1: Find the prime factorization of 1116

1116 = 2 x 2 x 3 x 3 x 31

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 = 208692 = 2 x 2 x 3 x 3 x 11 x 17 x 31

Step 4: Therefore, the least common multiple of 1116 and 1122 is 208692.