Least Common Multiple of 1095 and 1102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1095 and 1102 the smallest integer that is 1206690 that is divisible by both numbers.

Least Common Multiple (LCM) of 1095 and 1102 is 1206690.

LCM(1095,1102) = 1206690

LCM of 1095 and 1102

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

LCM of:
and

Least Common Multiple of 1095 and 1102

LCM of 1095 and 1102 is 1206690

Least common multiple can be found by multiplying the highest exponent prime factors of 1095 and 1102. First we will calculate the prime factors of 1095 and 1102.

Prime Factorization of 1095


3 1095
5 365
73 73
1

Prime factors of 1095 are 3, 5,73. Prime factorization of 1095 in exponential form is:

1095 = 31×51×731

Prime Factorization of 1102


2 1102
19 551
29 29
1

Prime factors of 1102 are 2, 19,29. Prime factorization of 1102 in exponential form is:

1102 = 21×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1095 and 1102.

LCM(1095,1102) = 21×31×51×191×291×731
LCM(1095,1102) = 1206690

Factors of 1095

List of positive integer factors of 1095 that divides 1095 without a remainder.

1, 3, 5, 15, 73, 219, 365, 1095

Factors of 1102

List of positive integer factors of 1102 that divides 1102 without a remainder.

1, 2, 19, 29, 38, 58, 551, 1102

Least Common Multiple of 1095 and 1102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1095 and 1102, than apply into the LCM equation.

GCF(1095,1102) = 1
LCM(1095,1102) = ( 1095 × 1102) / 1
LCM(1095,1102) = 1206690 / 1
LCM(1095,1102) = 1206690

Properties of LCM 1095 and 1102

(i) The LCM of 1102 and 1095 is associative

LCM of 1095 and 1102 = LCM of 1102 and 1095

Related Least Common Multiples of 1095

Related Least Common Multiples of 1102

Frequently Asked Questions on LCM of 1095 and 1102

1. What is the LCM of 1095 and 1102?

Answer: LCM of 1095 and 1102 is 1206690.

2. What are the Factors of 1095?

Answer: Factors of 1095 are 1, 3, 5, 15, 73, 219, 365, 1095. There are 8 integers that are factors of 1095. The greatest factor of 1095 is 1095.

3. What are the Factors of 1102?

Answer: Factors of 1102 are 1, 2, 19, 29, 38, 58, 551, 1102. There are 8 integers that are factors of 1102. The greatest factor of 1102 is 1102.

4. How to Find the LCM of 1095 and 1102?

Answer:

Least Common Multiple of 1095 and 1102 = 1206690

Step 1: Find the prime factorization of 1095

1095 = 3 x 5 x 73

Step 2: Find the prime factorization of 1102

1102 = 2 x 19 x 29

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

LCM = 1206690 = 2 x 3 x 5 x 19 x 29 x 73

Step 4: Therefore, the least common multiple of 1095 and 1102 is 1206690.