Least Common Multiple of 1122 and 1127

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 1127 the smallest integer that is 1264494 that is divisible by both numbers.

Least Common Multiple (LCM) of 1122 and 1127 is 1264494.

LCM(1122,1127) = 1264494

LCM of 1122 and 1127

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

LCM of:
and

Least Common Multiple of 1122 and 1127

LCM of 1122 and 1127 is 1264494

Least common multiple can be found by multiplying the highest exponent prime factors of 1122 and 1127. First we will calculate the prime factors of 1122 and 1127.

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 1127


7 1127
7 161
23 23
1

Prime factors of 1127 are 7,23. Prime factorization of 1127 in exponential form is:

1127 = 72×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1122 and 1127.

LCM(1122,1127) = 21×31×72×111×171×231
LCM(1122,1127) = 1264494

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 1127

List of positive integer factors of 1127 that divides 1127 without a remainder.

1, 7, 23, 49, 161, 1127

Least Common Multiple of 1122 and 1127 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 1127, than apply into the LCM equation.

GCF(1122,1127) = 1
LCM(1122,1127) = ( 1122 × 1127) / 1
LCM(1122,1127) = 1264494 / 1
LCM(1122,1127) = 1264494

Properties of LCM 1122 and 1127

(i) The LCM of 1127 and 1122 is associative

LCM of 1122 and 1127 = LCM of 1127 and 1122

Related Least Common Multiples of 1122

Related Least Common Multiples of 1127

Frequently Asked Questions on LCM of 1122 and 1127

1. What is the LCM of 1122 and 1127?

Answer: LCM of 1122 and 1127 is 1264494.

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 1127?

Answer: Factors of 1127 are 1, 7, 23, 49, 161, 1127. There are 6 integers that are factors of 1127. The greatest factor of 1127 is 1127.

4. How to Find the LCM of 1122 and 1127?

Answer:

Least Common Multiple of 1122 and 1127 = 1264494

Step 1: Find the prime factorization of 1122

1122 = 2 x 3 x 11 x 17

Step 2: Find the prime factorization of 1127

1127 = 7 x 7 x 23

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

LCM = 1264494 = 2 x 3 x 7 x 7 x 11 x 17 x 23

Step 4: Therefore, the least common multiple of 1122 and 1127 is 1264494.