Least Common Multiple of 1123 and 1130

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 1130 the smallest integer that is 1268990 that is divisible by both numbers.

Least Common Multiple (LCM) of 1123 and 1130 is 1268990.

LCM(1123,1130) = 1268990

LCM of 1123 and 1130

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

LCM of:
and

Least Common Multiple of 1123 and 1130

LCM of 1123 and 1130 is 1268990

Least common multiple can be found by multiplying the highest exponent prime factors of 1123 and 1130. First we will calculate the prime factors of 1123 and 1130.

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 1130


2 1130
5 565
113 113
1

Prime factors of 1130 are 2, 5,113. Prime factorization of 1130 in exponential form is:

1130 = 21×51×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 1123 and 1130.

LCM(1123,1130) = 21×51×1131×11231
LCM(1123,1130) = 1268990

Factors of 1123

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

1, 1123

Factors of 1130

List of positive integer factors of 1130 that divides 1130 without a remainder.

1, 2, 5, 10, 113, 226, 565, 1130

Least Common Multiple of 1123 and 1130 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 1130, than apply into the LCM equation.

GCF(1123,1130) = 1
LCM(1123,1130) = ( 1123 × 1130) / 1
LCM(1123,1130) = 1268990 / 1
LCM(1123,1130) = 1268990

Properties of LCM 1123 and 1130

(i) The LCM of 1130 and 1123 is associative

LCM of 1123 and 1130 = LCM of 1130 and 1123

Related Least Common Multiples of 1123

Related Least Common Multiples of 1130

Frequently Asked Questions on LCM of 1123 and 1130

1. What is the LCM of 1123 and 1130?

Answer: LCM of 1123 and 1130 is 1268990.

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 1130?

Answer: Factors of 1130 are 1, 2, 5, 10, 113, 226, 565, 1130. There are 8 integers that are factors of 1130. The greatest factor of 1130 is 1130.

4. How to Find the LCM of 1123 and 1130?

Answer:

Least Common Multiple of 1123 and 1130 = 1268990

Step 1: Find the prime factorization of 1123

1123 = 1123

Step 2: Find the prime factorization of 1130

1130 = 2 x 5 x 113

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

LCM = 1268990 = 2 x 5 x 113 x 1123

Step 4: Therefore, the least common multiple of 1123 and 1130 is 1268990.