Least Common Multiple of 1082 and 1090

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 1090 the smallest integer that is 589690 that is divisible by both numbers.

Least Common Multiple (LCM) of 1082 and 1090 is 589690.

LCM(1082,1090) = 589690

LCM of 1082 and 1090

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

LCM of:
and

Least Common Multiple of 1082 and 1090

LCM of 1082 and 1090 is 589690

Least common multiple can be found by multiplying the highest exponent prime factors of 1082 and 1090. First we will calculate the prime factors of 1082 and 1090.

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 1090


2 1090
5 545
109 109
1

Prime factors of 1090 are 2, 5,109. Prime factorization of 1090 in exponential form is:

1090 = 21×51×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 1082 and 1090.

LCM(1082,1090) = 21×51×1091×5411
LCM(1082,1090) = 589690

Factors of 1082

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

1, 2, 541, 1082

Factors of 1090

List of positive integer factors of 1090 that divides 1090 without a remainder.

1, 2, 5, 10, 109, 218, 545, 1090

Least Common Multiple of 1082 and 1090 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 1090, than apply into the LCM equation.

GCF(1082,1090) = 2
LCM(1082,1090) = ( 1082 × 1090) / 2
LCM(1082,1090) = 1179380 / 2
LCM(1082,1090) = 589690

Properties of LCM 1082 and 1090

(i) The LCM of 1090 and 1082 is associative

LCM of 1082 and 1090 = LCM of 1090 and 1082

Related Least Common Multiples of 1082

Related Least Common Multiples of 1090

Frequently Asked Questions on LCM of 1082 and 1090

1. What is the LCM of 1082 and 1090?

Answer: LCM of 1082 and 1090 is 589690.

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 1090?

Answer: Factors of 1090 are 1, 2, 5, 10, 109, 218, 545, 1090. There are 8 integers that are factors of 1090. The greatest factor of 1090 is 1090.

4. How to Find the LCM of 1082 and 1090?

Answer:

Least Common Multiple of 1082 and 1090 = 589690

Step 1: Find the prime factorization of 1082

1082 = 2 x 541

Step 2: Find the prime factorization of 1090

1090 = 2 x 5 x 109

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

LCM = 589690 = 2 x 5 x 109 x 541

Step 4: Therefore, the least common multiple of 1082 and 1090 is 589690.