Least Common Multiple of 1120 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 1120 and 1122 the smallest integer that is 628320 that is divisible by both numbers.

Least Common Multiple (LCM) of 1120 and 1122 is 628320.

LCM(1120,1122) = 628320

LCM of 1120 and 1122

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

LCM of:
and

Least Common Multiple of 1120 and 1122

LCM of 1120 and 1122 is 628320

Least common multiple can be found by multiplying the highest exponent prime factors of 1120 and 1122. First we will calculate the prime factors of 1120 and 1122.

Prime Factorization of 1120


2 1120
2 560
2 280
2 140
2 70
5 35
7 7
1

Prime factors of 1120 are 2, 5,7. Prime factorization of 1120 in exponential form is:

1120 = 25×51×71

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 1120 and 1122.

LCM(1120,1122) = 25×31×51×71×111×171
LCM(1120,1122) = 628320

Factors of 1120

List of positive integer factors of 1120 that divides 1120 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120

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 1120 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 1120 and 1122, than apply into the LCM equation.

GCF(1120,1122) = 2
LCM(1120,1122) = ( 1120 × 1122) / 2
LCM(1120,1122) = 1256640 / 2
LCM(1120,1122) = 628320

Properties of LCM 1120 and 1122

(i) The LCM of 1122 and 1120 is associative

LCM of 1120 and 1122 = LCM of 1122 and 1120

Related Least Common Multiples of 1120

Related Least Common Multiples of 1122

Frequently Asked Questions on LCM of 1120 and 1122

1. What is the LCM of 1120 and 1122?

Answer: LCM of 1120 and 1122 is 628320.

2. What are the Factors of 1120?

Answer: Factors of 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120. There are 24 integers that are factors of 1120. The greatest factor of 1120 is 1120.

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 1120 and 1122?

Answer:

Least Common Multiple of 1120 and 1122 = 628320

Step 1: Find the prime factorization of 1120

1120 = 2 x 2 x 2 x 2 x 2 x 5 x 7

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 = 628320 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 17

Step 4: Therefore, the least common multiple of 1120 and 1122 is 628320.