Least Common Multiple of 1105 and 1110

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 1110 the smallest integer that is 245310 that is divisible by both numbers.

Least Common Multiple (LCM) of 1105 and 1110 is 245310.

LCM(1105,1110) = 245310

LCM of 1105 and 1110

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

LCM of:
and

Least Common Multiple of 1105 and 1110

LCM of 1105 and 1110 is 245310

Least common multiple can be found by multiplying the highest exponent prime factors of 1105 and 1110. First we will calculate the prime factors of 1105 and 1110.

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 1110


2 1110
3 555
5 185
37 37
1

Prime factors of 1110 are 2, 3, 5,37. Prime factorization of 1110 in exponential form is:

1110 = 21×31×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1105 and 1110.

LCM(1105,1110) = 21×31×51×131×171×371
LCM(1105,1110) = 245310

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 1110

List of positive integer factors of 1110 that divides 1110 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 111, 185, 222, 370, 555, 1110

Least Common Multiple of 1105 and 1110 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 1110, than apply into the LCM equation.

GCF(1105,1110) = 5
LCM(1105,1110) = ( 1105 × 1110) / 5
LCM(1105,1110) = 1226550 / 5
LCM(1105,1110) = 245310

Properties of LCM 1105 and 1110

(i) The LCM of 1110 and 1105 is associative

LCM of 1105 and 1110 = LCM of 1110 and 1105

Related Least Common Multiples of 1105

Related Least Common Multiples of 1110

Frequently Asked Questions on LCM of 1105 and 1110

1. What is the LCM of 1105 and 1110?

Answer: LCM of 1105 and 1110 is 245310.

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 1110?

Answer: Factors of 1110 are 1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 111, 185, 222, 370, 555, 1110. There are 16 integers that are factors of 1110. The greatest factor of 1110 is 1110.

4. How to Find the LCM of 1105 and 1110?

Answer:

Least Common Multiple of 1105 and 1110 = 245310

Step 1: Find the prime factorization of 1105

1105 = 5 x 13 x 17

Step 2: Find the prime factorization of 1110

1110 = 2 x 3 x 5 x 37

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

LCM = 245310 = 2 x 3 x 5 x 13 x 17 x 37

Step 4: Therefore, the least common multiple of 1105 and 1110 is 245310.