Least Common Multiple of 1085 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 1085 and 1093 the smallest integer that is 1185905 that is divisible by both numbers.

Least Common Multiple (LCM) of 1085 and 1093 is 1185905.

LCM(1085,1093) = 1185905

LCM of 1085 and 1093

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

LCM of:
and

Least Common Multiple of 1085 and 1093

LCM of 1085 and 1093 is 1185905

Least common multiple can be found by multiplying the highest exponent prime factors of 1085 and 1093. First we will calculate the prime factors of 1085 and 1093.

Prime Factorization of 1085


5 1085
7 217
31 31
1

Prime factors of 1085 are 5, 7,31. Prime factorization of 1085 in exponential form is:

1085 = 51×71×311

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 1085 and 1093.

LCM(1085,1093) = 51×71×311×10931
LCM(1085,1093) = 1185905

Factors of 1085

List of positive integer factors of 1085 that divides 1085 without a remainder.

1, 5, 7, 31, 35, 155, 217, 1085

Factors of 1093

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

1, 1093

Least Common Multiple of 1085 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 1085 and 1093, than apply into the LCM equation.

GCF(1085,1093) = 1
LCM(1085,1093) = ( 1085 × 1093) / 1
LCM(1085,1093) = 1185905 / 1
LCM(1085,1093) = 1185905

Properties of LCM 1085 and 1093

(i) The LCM of 1093 and 1085 is associative

LCM of 1085 and 1093 = LCM of 1093 and 1085

Related Least Common Multiples of 1085

Related Least Common Multiples of 1093

Frequently Asked Questions on LCM of 1085 and 1093

1. What is the LCM of 1085 and 1093?

Answer: LCM of 1085 and 1093 is 1185905.

2. What are the Factors of 1085?

Answer: Factors of 1085 are 1, 5, 7, 31, 35, 155, 217, 1085. There are 8 integers that are factors of 1085. The greatest factor of 1085 is 1085.

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 1085 and 1093?

Answer:

Least Common Multiple of 1085 and 1093 = 1185905

Step 1: Find the prime factorization of 1085

1085 = 5 x 7 x 31

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 = 1185905 = 5 x 7 x 31 x 1093

Step 4: Therefore, the least common multiple of 1085 and 1093 is 1185905.