Least Common Multiple of 1095 and 1099

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 1099 the smallest integer that is 1203405 that is divisible by both numbers.

Least Common Multiple (LCM) of 1095 and 1099 is 1203405.

LCM(1095,1099) = 1203405

LCM of 1095 and 1099

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

LCM of:
and

Least Common Multiple of 1095 and 1099

LCM of 1095 and 1099 is 1203405

Least common multiple can be found by multiplying the highest exponent prime factors of 1095 and 1099. First we will calculate the prime factors of 1095 and 1099.

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 1099


7 1099
157 157
1

Prime factors of 1099 are 7,157. Prime factorization of 1099 in exponential form is:

1099 = 71×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 1095 and 1099.

LCM(1095,1099) = 31×51×71×731×1571
LCM(1095,1099) = 1203405

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 1099

List of positive integer factors of 1099 that divides 1099 without a remainder.

1, 7, 157, 1099

Least Common Multiple of 1095 and 1099 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 1099, than apply into the LCM equation.

GCF(1095,1099) = 1
LCM(1095,1099) = ( 1095 × 1099) / 1
LCM(1095,1099) = 1203405 / 1
LCM(1095,1099) = 1203405

Properties of LCM 1095 and 1099

(i) The LCM of 1099 and 1095 is associative

LCM of 1095 and 1099 = LCM of 1099 and 1095

Related Least Common Multiples of 1095

Related Least Common Multiples of 1099

Frequently Asked Questions on LCM of 1095 and 1099

1. What is the LCM of 1095 and 1099?

Answer: LCM of 1095 and 1099 is 1203405.

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 1099?

Answer: Factors of 1099 are 1, 7, 157, 1099. There are 4 integers that are factors of 1099. The greatest factor of 1099 is 1099.

4. How to Find the LCM of 1095 and 1099?

Answer:

Least Common Multiple of 1095 and 1099 = 1203405

Step 1: Find the prime factorization of 1095

1095 = 3 x 5 x 73

Step 2: Find the prime factorization of 1099

1099 = 7 x 157

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

LCM = 1203405 = 3 x 5 x 7 x 73 x 157

Step 4: Therefore, the least common multiple of 1095 and 1099 is 1203405.