Least Common Multiple of 1076 and 1083

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1076 and 1083 the smallest integer that is 1165308 that is divisible by both numbers.

Least Common Multiple (LCM) of 1076 and 1083 is 1165308.

LCM(1076,1083) = 1165308

LCM of 1076 and 1083

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

LCM of:
and

Least Common Multiple of 1076 and 1083

LCM of 1076 and 1083 is 1165308

Least common multiple can be found by multiplying the highest exponent prime factors of 1076 and 1083. First we will calculate the prime factors of 1076 and 1083.

Prime Factorization of 1076


2 1076
2 538
269 269
1

Prime factors of 1076 are 2,269. Prime factorization of 1076 in exponential form is:

1076 = 22×2691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1076 and 1083.

LCM(1076,1083) = 22×31×192×2691
LCM(1076,1083) = 1165308

Factors of 1076

List of positive integer factors of 1076 that divides 1076 without a remainder.

1, 2, 4, 269, 538, 1076

Factors of 1083

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

1, 3, 19, 57, 361, 1083

Least Common Multiple of 1076 and 1083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1076 and 1083, than apply into the LCM equation.

GCF(1076,1083) = 1
LCM(1076,1083) = ( 1076 × 1083) / 1
LCM(1076,1083) = 1165308 / 1
LCM(1076,1083) = 1165308

Properties of LCM 1076 and 1083

(i) The LCM of 1083 and 1076 is associative

LCM of 1076 and 1083 = LCM of 1083 and 1076

Related Least Common Multiples of 1076

Related Least Common Multiples of 1083

Frequently Asked Questions on LCM of 1076 and 1083

1. What is the LCM of 1076 and 1083?

Answer: LCM of 1076 and 1083 is 1165308.

2. What are the Factors of 1076?

Answer: Factors of 1076 are 1, 2, 4, 269, 538, 1076. There are 6 integers that are factors of 1076. The greatest factor of 1076 is 1076.

3. 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.

4. How to Find the LCM of 1076 and 1083?

Answer:

Least Common Multiple of 1076 and 1083 = 1165308

Step 1: Find the prime factorization of 1076

1076 = 2 x 2 x 269

Step 2: Find the prime factorization of 1083

1083 = 3 x 19 x 19

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

LCM = 1165308 = 2 x 2 x 3 x 19 x 19 x 269

Step 4: Therefore, the least common multiple of 1076 and 1083 is 1165308.