Least Common Multiple of 1105 and 1109

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 1109 the smallest integer that is 1225445 that is divisible by both numbers.

Least Common Multiple (LCM) of 1105 and 1109 is 1225445.

LCM(1105,1109) = 1225445

LCM of 1105 and 1109

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

LCM of:
and

Least Common Multiple of 1105 and 1109

LCM of 1105 and 1109 is 1225445

Least common multiple can be found by multiplying the highest exponent prime factors of 1105 and 1109. First we will calculate the prime factors of 1105 and 1109.

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 1109


1109 1109
1

Prime factors of 1109 are 1109. Prime factorization of 1109 in exponential form is:

1109 = 11091

Now multiplying the highest exponent prime factors to calculate the LCM of 1105 and 1109.

LCM(1105,1109) = 51×131×171×11091
LCM(1105,1109) = 1225445

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 1109

List of positive integer factors of 1109 that divides 1109 without a remainder.

1, 1109

Least Common Multiple of 1105 and 1109 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 1109, than apply into the LCM equation.

GCF(1105,1109) = 1
LCM(1105,1109) = ( 1105 × 1109) / 1
LCM(1105,1109) = 1225445 / 1
LCM(1105,1109) = 1225445

Properties of LCM 1105 and 1109

(i) The LCM of 1109 and 1105 is associative

LCM of 1105 and 1109 = LCM of 1109 and 1105

Related Least Common Multiples of 1105

Related Least Common Multiples of 1109

Frequently Asked Questions on LCM of 1105 and 1109

1. What is the LCM of 1105 and 1109?

Answer: LCM of 1105 and 1109 is 1225445.

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 1109?

Answer: Factors of 1109 are 1, 1109. There are 2 integers that are factors of 1109. The greatest factor of 1109 is 1109.

4. How to Find the LCM of 1105 and 1109?

Answer:

Least Common Multiple of 1105 and 1109 = 1225445

Step 1: Find the prime factorization of 1105

1105 = 5 x 13 x 17

Step 2: Find the prime factorization of 1109

1109 = 1109

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

LCM = 1225445 = 5 x 13 x 17 x 1109

Step 4: Therefore, the least common multiple of 1105 and 1109 is 1225445.