Least Common Multiple of 1122 and 1128

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 1128 the smallest integer that is 210936 that is divisible by both numbers.

Least Common Multiple (LCM) of 1122 and 1128 is 210936.

LCM(1122,1128) = 210936

LCM of 1122 and 1128

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

LCM of:
and

Least Common Multiple of 1122 and 1128

LCM of 1122 and 1128 is 210936

Least common multiple can be found by multiplying the highest exponent prime factors of 1122 and 1128. First we will calculate the prime factors of 1122 and 1128.

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 1128


2 1128
2 564
2 282
3 141
47 47
1

Prime factors of 1128 are 2, 3,47. Prime factorization of 1128 in exponential form is:

1128 = 23×31×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1122 and 1128.

LCM(1122,1128) = 23×31×111×171×471
LCM(1122,1128) = 210936

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 1128

List of positive integer factors of 1128 that divides 1128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128

Least Common Multiple of 1122 and 1128 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 1128, than apply into the LCM equation.

GCF(1122,1128) = 6
LCM(1122,1128) = ( 1122 × 1128) / 6
LCM(1122,1128) = 1265616 / 6
LCM(1122,1128) = 210936

Properties of LCM 1122 and 1128

(i) The LCM of 1128 and 1122 is associative

LCM of 1122 and 1128 = LCM of 1128 and 1122

Related Least Common Multiples of 1122

Related Least Common Multiples of 1128

Frequently Asked Questions on LCM of 1122 and 1128

1. What is the LCM of 1122 and 1128?

Answer: LCM of 1122 and 1128 is 210936.

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 1128?

Answer: Factors of 1128 are 1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128. There are 16 integers that are factors of 1128. The greatest factor of 1128 is 1128.

4. How to Find the LCM of 1122 and 1128?

Answer:

Least Common Multiple of 1122 and 1128 = 210936

Step 1: Find the prime factorization of 1122

1122 = 2 x 3 x 11 x 17

Step 2: Find the prime factorization of 1128

1128 = 2 x 2 x 2 x 3 x 47

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

LCM = 210936 = 2 x 2 x 2 x 3 x 11 x 17 x 47

Step 4: Therefore, the least common multiple of 1122 and 1128 is 210936.