Least Common Multiple of 1101 and 1105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1101 and 1105 the smallest integer that is 1216605 that is divisible by both numbers.

Least Common Multiple (LCM) of 1101 and 1105 is 1216605.

LCM(1101,1105) = 1216605

LCM of 1101 and 1105

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

LCM of:
and

Least Common Multiple of 1101 and 1105

LCM of 1101 and 1105 is 1216605

Least common multiple can be found by multiplying the highest exponent prime factors of 1101 and 1105. First we will calculate the prime factors of 1101 and 1105.

Prime Factorization of 1101


3 1101
367 367
1

Prime factors of 1101 are 3,367. Prime factorization of 1101 in exponential form is:

1101 = 31×3671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1101 and 1105.

LCM(1101,1105) = 31×51×131×171×3671
LCM(1101,1105) = 1216605

Factors of 1101

List of positive integer factors of 1101 that divides 1101 without a remainder.

1, 3, 367, 1101

Factors of 1105

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

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

Least Common Multiple of 1101 and 1105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1101 and 1105, than apply into the LCM equation.

GCF(1101,1105) = 1
LCM(1101,1105) = ( 1101 × 1105) / 1
LCM(1101,1105) = 1216605 / 1
LCM(1101,1105) = 1216605

Properties of LCM 1101 and 1105

(i) The LCM of 1105 and 1101 is associative

LCM of 1101 and 1105 = LCM of 1105 and 1101

Related Least Common Multiples of 1101

Related Least Common Multiples of 1105

Frequently Asked Questions on LCM of 1101 and 1105

1. What is the LCM of 1101 and 1105?

Answer: LCM of 1101 and 1105 is 1216605.

2. What are the Factors of 1101?

Answer: Factors of 1101 are 1, 3, 367, 1101. There are 4 integers that are factors of 1101. The greatest factor of 1101 is 1101.

3. 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.

4. How to Find the LCM of 1101 and 1105?

Answer:

Least Common Multiple of 1101 and 1105 = 1216605

Step 1: Find the prime factorization of 1101

1101 = 3 x 367

Step 2: Find the prime factorization of 1105

1105 = 5 x 13 x 17

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

LCM = 1216605 = 3 x 5 x 13 x 17 x 367

Step 4: Therefore, the least common multiple of 1101 and 1105 is 1216605.