Least Common Multiple of 1087 and 1093

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 1093 the smallest integer that is 1188091 that is divisible by both numbers.

Least Common Multiple (LCM) of 1087 and 1093 is 1188091.

LCM(1087,1093) = 1188091

LCM of 1087 and 1093

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

LCM of:
and

Least Common Multiple of 1087 and 1093

LCM of 1087 and 1093 is 1188091

Least common multiple can be found by multiplying the highest exponent prime factors of 1087 and 1093. First we will calculate the prime factors of 1087 and 1093.

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 1093


1093 1093
1

Prime factors of 1093 are 1093. Prime factorization of 1093 in exponential form is:

1093 = 10931

Now multiplying the highest exponent prime factors to calculate the LCM of 1087 and 1093.

LCM(1087,1093) = 10871×10931
LCM(1087,1093) = 1188091

Factors of 1087

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

1, 1087

Factors of 1093

List of positive integer factors of 1093 that divides 1093 without a remainder.

1, 1093

Least Common Multiple of 1087 and 1093 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 1093, than apply into the LCM equation.

GCF(1087,1093) = 1
LCM(1087,1093) = ( 1087 × 1093) / 1
LCM(1087,1093) = 1188091 / 1
LCM(1087,1093) = 1188091

Properties of LCM 1087 and 1093

(i) The LCM of 1093 and 1087 is associative

LCM of 1087 and 1093 = LCM of 1093 and 1087

Related Least Common Multiples of 1087

Related Least Common Multiples of 1093

Frequently Asked Questions on LCM of 1087 and 1093

1. What is the LCM of 1087 and 1093?

Answer: LCM of 1087 and 1093 is 1188091.

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 1093?

Answer: Factors of 1093 are 1, 1093. There are 2 integers that are factors of 1093. The greatest factor of 1093 is 1093.

4. How to Find the LCM of 1087 and 1093?

Answer:

Least Common Multiple of 1087 and 1093 = 1188091

Step 1: Find the prime factorization of 1087

1087 = 1087

Step 2: Find the prime factorization of 1093

1093 = 1093

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

LCM = 1188091 = 1087 x 1093

Step 4: Therefore, the least common multiple of 1087 and 1093 is 1188091.