Least Common Multiple of 1123 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 1123 and 1127 the smallest integer that is 1265621 that is divisible by both numbers.

Least Common Multiple (LCM) of 1123 and 1127 is 1265621.

LCM(1123,1127) = 1265621

LCM of 1123 and 1127

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

LCM of:
and

Least Common Multiple of 1123 and 1127

LCM of 1123 and 1127 is 1265621

Least common multiple can be found by multiplying the highest exponent prime factors of 1123 and 1127. First we will calculate the prime factors of 1123 and 1127.

Prime Factorization of 1123


1123 1123
1

Prime factors of 1123 are 1123. Prime factorization of 1123 in exponential form is:

1123 = 11231

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 1123 and 1127.

LCM(1123,1127) = 72×231×11231
LCM(1123,1127) = 1265621

Factors of 1123

List of positive integer factors of 1123 that divides 1123 without a remainder.

1, 1123

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 1123 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 1123 and 1127, than apply into the LCM equation.

GCF(1123,1127) = 1
LCM(1123,1127) = ( 1123 × 1127) / 1
LCM(1123,1127) = 1265621 / 1
LCM(1123,1127) = 1265621

Properties of LCM 1123 and 1127

(i) The LCM of 1127 and 1123 is associative

LCM of 1123 and 1127 = LCM of 1127 and 1123

Related Least Common Multiples of 1123

Related Least Common Multiples of 1127

Frequently Asked Questions on LCM of 1123 and 1127

1. What is the LCM of 1123 and 1127?

Answer: LCM of 1123 and 1127 is 1265621.

2. What are the Factors of 1123?

Answer: Factors of 1123 are 1, 1123. There are 2 integers that are factors of 1123. The greatest factor of 1123 is 1123.

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 1123 and 1127?

Answer:

Least Common Multiple of 1123 and 1127 = 1265621

Step 1: Find the prime factorization of 1123

1123 = 1123

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 = 1265621 = 7 x 7 x 23 x 1123

Step 4: Therefore, the least common multiple of 1123 and 1127 is 1265621.