Least Common Multiple of 1117 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 1117 and 1123 the smallest integer that is 1254391 that is divisible by both numbers.

Least Common Multiple (LCM) of 1117 and 1123 is 1254391.

LCM(1117,1123) = 1254391

LCM of 1117 and 1123

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

LCM of:
and

Least Common Multiple of 1117 and 1123

LCM of 1117 and 1123 is 1254391

Least common multiple can be found by multiplying the highest exponent prime factors of 1117 and 1123. First we will calculate the prime factors of 1117 and 1123.

Prime Factorization of 1117


1117 1117
1

Prime factors of 1117 are 1117. Prime factorization of 1117 in exponential form is:

1117 = 11171

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 1117 and 1123.

LCM(1117,1123) = 11171×11231
LCM(1117,1123) = 1254391

Factors of 1117

List of positive integer factors of 1117 that divides 1117 without a remainder.

1, 1117

Factors of 1123

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

1, 1123

Least Common Multiple of 1117 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 1117 and 1123, than apply into the LCM equation.

GCF(1117,1123) = 1
LCM(1117,1123) = ( 1117 × 1123) / 1
LCM(1117,1123) = 1254391 / 1
LCM(1117,1123) = 1254391

Properties of LCM 1117 and 1123

(i) The LCM of 1123 and 1117 is associative

LCM of 1117 and 1123 = LCM of 1123 and 1117

Related Least Common Multiples of 1117

Related Least Common Multiples of 1123

Frequently Asked Questions on LCM of 1117 and 1123

1. What is the LCM of 1117 and 1123?

Answer: LCM of 1117 and 1123 is 1254391.

2. What are the Factors of 1117?

Answer: Factors of 1117 are 1, 1117. There are 2 integers that are factors of 1117. The greatest factor of 1117 is 1117.

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 1117 and 1123?

Answer:

Least Common Multiple of 1117 and 1123 = 1254391

Step 1: Find the prime factorization of 1117

1117 = 1117

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 = 1254391 = 1117 x 1123

Step 4: Therefore, the least common multiple of 1117 and 1123 is 1254391.