Least Common Multiple of 1087 and 1095

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1087 and 1095 the smallest integer that is 1190265 that is divisible by both numbers.

Least Common Multiple (LCM) of 1087 and 1095 is 1190265.

LCM(1087,1095) = 1190265

LCM of 1087 and 1095

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

LCM of:
and

Least Common Multiple of 1087 and 1095

LCM of 1087 and 1095 is 1190265

Least common multiple can be found by multiplying the highest exponent prime factors of 1087 and 1095. First we will calculate the prime factors of 1087 and 1095.

Prime Factorization of 1087


1087 1087
1

Prime factors of 1087 are 1087. Prime factorization of 1087 in exponential form is:

1087 = 10871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1087 and 1095.

LCM(1087,1095) = 31×51×731×10871
LCM(1087,1095) = 1190265

Factors of 1087

List of positive integer factors of 1087 that divides 1087 without a remainder.

1, 1087

Factors of 1095

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

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

Least Common Multiple of 1087 and 1095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1087 and 1095, than apply into the LCM equation.

GCF(1087,1095) = 1
LCM(1087,1095) = ( 1087 × 1095) / 1
LCM(1087,1095) = 1190265 / 1
LCM(1087,1095) = 1190265

Properties of LCM 1087 and 1095

(i) The LCM of 1095 and 1087 is associative

LCM of 1087 and 1095 = LCM of 1095 and 1087

Related Least Common Multiples of 1087

Related Least Common Multiples of 1095

Frequently Asked Questions on LCM of 1087 and 1095

1. What is the LCM of 1087 and 1095?

Answer: LCM of 1087 and 1095 is 1190265.

2. What are the Factors of 1087?

Answer: Factors of 1087 are 1, 1087. There are 2 integers that are factors of 1087. The greatest factor of 1087 is 1087.

3. 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.

4. How to Find the LCM of 1087 and 1095?

Answer:

Least Common Multiple of 1087 and 1095 = 1190265

Step 1: Find the prime factorization of 1087

1087 = 1087

Step 2: Find the prime factorization of 1095

1095 = 3 x 5 x 73

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

LCM = 1190265 = 3 x 5 x 73 x 1087

Step 4: Therefore, the least common multiple of 1087 and 1095 is 1190265.