Least Common Multiple of 1083 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 1083 and 1090 the smallest integer that is 1180470 that is divisible by both numbers.

Least Common Multiple (LCM) of 1083 and 1090 is 1180470.

LCM(1083,1090) = 1180470

LCM of 1083 and 1090

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

LCM of:
and

Least Common Multiple of 1083 and 1090

LCM of 1083 and 1090 is 1180470

Least common multiple can be found by multiplying the highest exponent prime factors of 1083 and 1090. First we will calculate the prime factors of 1083 and 1090.

Prime Factorization of 1083


3 1083
19 361
19 19
1

Prime factors of 1083 are 3,19. Prime factorization of 1083 in exponential form is:

1083 = 31×192

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 1083 and 1090.

LCM(1083,1090) = 21×31×51×192×1091
LCM(1083,1090) = 1180470

Factors of 1083

List of positive integer factors of 1083 that divides 1083 without a remainder.

1, 3, 19, 57, 361, 1083

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 1083 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 1083 and 1090, than apply into the LCM equation.

GCF(1083,1090) = 1
LCM(1083,1090) = ( 1083 × 1090) / 1
LCM(1083,1090) = 1180470 / 1
LCM(1083,1090) = 1180470

Properties of LCM 1083 and 1090

(i) The LCM of 1090 and 1083 is associative

LCM of 1083 and 1090 = LCM of 1090 and 1083

Related Least Common Multiples of 1083

Related Least Common Multiples of 1090

Frequently Asked Questions on LCM of 1083 and 1090

1. What is the LCM of 1083 and 1090?

Answer: LCM of 1083 and 1090 is 1180470.

2. What are the Factors of 1083?

Answer: Factors of 1083 are 1, 3, 19, 57, 361, 1083. There are 6 integers that are factors of 1083. The greatest factor of 1083 is 1083.

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 1083 and 1090?

Answer:

Least Common Multiple of 1083 and 1090 = 1180470

Step 1: Find the prime factorization of 1083

1083 = 3 x 19 x 19

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 = 1180470 = 2 x 3 x 5 x 19 x 19 x 109

Step 4: Therefore, the least common multiple of 1083 and 1090 is 1180470.