Least Common Multiple of 1118 and 1123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1118 and 1123 the smallest integer that is 1255514 that is divisible by both numbers.

Least Common Multiple (LCM) of 1118 and 1123 is 1255514.

LCM(1118,1123) = 1255514

LCM of 1118 and 1123

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

LCM of:
and

Least Common Multiple of 1118 and 1123

LCM of 1118 and 1123 is 1255514

Least common multiple can be found by multiplying the highest exponent prime factors of 1118 and 1123. First we will calculate the prime factors of 1118 and 1123.

Prime Factorization of 1118


2 1118
13 559
43 43
1

Prime factors of 1118 are 2, 13,43. Prime factorization of 1118 in exponential form is:

1118 = 21×131×431

Prime Factorization of 1123


1123 1123
1

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

1123 = 11231

Now multiplying the highest exponent prime factors to calculate the LCM of 1118 and 1123.

LCM(1118,1123) = 21×131×431×11231
LCM(1118,1123) = 1255514

Factors of 1118

List of positive integer factors of 1118 that divides 1118 without a remainder.

1, 2, 13, 26, 43, 86, 559, 1118

Factors of 1123

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

1, 1123

Least Common Multiple of 1118 and 1123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1118 and 1123, than apply into the LCM equation.

GCF(1118,1123) = 1
LCM(1118,1123) = ( 1118 × 1123) / 1
LCM(1118,1123) = 1255514 / 1
LCM(1118,1123) = 1255514

Properties of LCM 1118 and 1123

(i) The LCM of 1123 and 1118 is associative

LCM of 1118 and 1123 = LCM of 1123 and 1118

Related Least Common Multiples of 1118

Related Least Common Multiples of 1123

Frequently Asked Questions on LCM of 1118 and 1123

1. What is the LCM of 1118 and 1123?

Answer: LCM of 1118 and 1123 is 1255514.

2. What are the Factors of 1118?

Answer: Factors of 1118 are 1, 2, 13, 26, 43, 86, 559, 1118. There are 8 integers that are factors of 1118. The greatest factor of 1118 is 1118.

3. 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.

4. How to Find the LCM of 1118 and 1123?

Answer:

Least Common Multiple of 1118 and 1123 = 1255514

Step 1: Find the prime factorization of 1118

1118 = 2 x 13 x 43

Step 2: Find the prime factorization of 1123

1123 = 1123

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

LCM = 1255514 = 2 x 13 x 43 x 1123

Step 4: Therefore, the least common multiple of 1118 and 1123 is 1255514.