Least Common Multiple of 1105 and 1113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1105 and 1113 the smallest integer that is 1229865 that is divisible by both numbers.

Least Common Multiple (LCM) of 1105 and 1113 is 1229865.

LCM(1105,1113) = 1229865

LCM of 1105 and 1113

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

LCM of:
and

Least Common Multiple of 1105 and 1113

LCM of 1105 and 1113 is 1229865

Least common multiple can be found by multiplying the highest exponent prime factors of 1105 and 1113. First we will calculate the prime factors of 1105 and 1113.

Prime Factorization of 1105


5 1105
13 221
17 17
1

Prime factors of 1105 are 5, 13,17. Prime factorization of 1105 in exponential form is:

1105 = 51×131×171

Prime Factorization of 1113


3 1113
7 371
53 53
1

Prime factors of 1113 are 3, 7,53. Prime factorization of 1113 in exponential form is:

1113 = 31×71×531

Now multiplying the highest exponent prime factors to calculate the LCM of 1105 and 1113.

LCM(1105,1113) = 31×51×71×131×171×531
LCM(1105,1113) = 1229865

Factors of 1105

List of positive integer factors of 1105 that divides 1105 without a remainder.

1, 5, 13, 17, 65, 85, 221, 1105

Factors of 1113

List of positive integer factors of 1113 that divides 1113 without a remainder.

1, 3, 7, 21, 53, 159, 371, 1113

Least Common Multiple of 1105 and 1113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1105 and 1113, than apply into the LCM equation.

GCF(1105,1113) = 1
LCM(1105,1113) = ( 1105 × 1113) / 1
LCM(1105,1113) = 1229865 / 1
LCM(1105,1113) = 1229865

Properties of LCM 1105 and 1113

(i) The LCM of 1113 and 1105 is associative

LCM of 1105 and 1113 = LCM of 1113 and 1105

Related Least Common Multiples of 1105

Related Least Common Multiples of 1113

Frequently Asked Questions on LCM of 1105 and 1113

1. What is the LCM of 1105 and 1113?

Answer: LCM of 1105 and 1113 is 1229865.

2. What are the Factors of 1105?

Answer: Factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105. There are 8 integers that are factors of 1105. The greatest factor of 1105 is 1105.

3. What are the Factors of 1113?

Answer: Factors of 1113 are 1, 3, 7, 21, 53, 159, 371, 1113. There are 8 integers that are factors of 1113. The greatest factor of 1113 is 1113.

4. How to Find the LCM of 1105 and 1113?

Answer:

Least Common Multiple of 1105 and 1113 = 1229865

Step 1: Find the prime factorization of 1105

1105 = 5 x 13 x 17

Step 2: Find the prime factorization of 1113

1113 = 3 x 7 x 53

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

LCM = 1229865 = 3 x 5 x 7 x 13 x 17 x 53

Step 4: Therefore, the least common multiple of 1105 and 1113 is 1229865.