Least Common Multiple of 1082 and 1087

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1082 and 1087 the smallest integer that is 1176134 that is divisible by both numbers.

Least Common Multiple (LCM) of 1082 and 1087 is 1176134.

LCM(1082,1087) = 1176134

LCM of 1082 and 1087

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

LCM of:
and

Least Common Multiple of 1082 and 1087

LCM of 1082 and 1087 is 1176134

Least common multiple can be found by multiplying the highest exponent prime factors of 1082 and 1087. First we will calculate the prime factors of 1082 and 1087.

Prime Factorization of 1082


2 1082
541 541
1

Prime factors of 1082 are 2,541. Prime factorization of 1082 in exponential form is:

1082 = 21×5411

Prime Factorization of 1087


1087 1087
1

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

1087 = 10871

Now multiplying the highest exponent prime factors to calculate the LCM of 1082 and 1087.

LCM(1082,1087) = 21×5411×10871
LCM(1082,1087) = 1176134

Factors of 1082

List of positive integer factors of 1082 that divides 1082 without a remainder.

1, 2, 541, 1082

Factors of 1087

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

1, 1087

Least Common Multiple of 1082 and 1087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1082 and 1087, than apply into the LCM equation.

GCF(1082,1087) = 1
LCM(1082,1087) = ( 1082 × 1087) / 1
LCM(1082,1087) = 1176134 / 1
LCM(1082,1087) = 1176134

Properties of LCM 1082 and 1087

(i) The LCM of 1087 and 1082 is associative

LCM of 1082 and 1087 = LCM of 1087 and 1082

Related Least Common Multiples of 1082

Related Least Common Multiples of 1087

Frequently Asked Questions on LCM of 1082 and 1087

1. What is the LCM of 1082 and 1087?

Answer: LCM of 1082 and 1087 is 1176134.

2. What are the Factors of 1082?

Answer: Factors of 1082 are 1, 2, 541, 1082. There are 4 integers that are factors of 1082. The greatest factor of 1082 is 1082.

3. 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.

4. How to Find the LCM of 1082 and 1087?

Answer:

Least Common Multiple of 1082 and 1087 = 1176134

Step 1: Find the prime factorization of 1082

1082 = 2 x 541

Step 2: Find the prime factorization of 1087

1087 = 1087

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

LCM = 1176134 = 2 x 541 x 1087

Step 4: Therefore, the least common multiple of 1082 and 1087 is 1176134.