Least Common Multiple of 1076 and 1084

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 1084 the smallest integer that is 291596 that is divisible by both numbers.

Least Common Multiple (LCM) of 1076 and 1084 is 291596.

LCM(1076,1084) = 291596

LCM of 1076 and 1084

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

LCM of:
and

Least Common Multiple of 1076 and 1084

LCM of 1076 and 1084 is 291596

Least common multiple can be found by multiplying the highest exponent prime factors of 1076 and 1084. First we will calculate the prime factors of 1076 and 1084.

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 1084


2 1084
2 542
271 271
1

Prime factors of 1084 are 2,271. Prime factorization of 1084 in exponential form is:

1084 = 22×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 1076 and 1084.

LCM(1076,1084) = 22×2691×2711
LCM(1076,1084) = 291596

Factors of 1076

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

1, 2, 4, 269, 538, 1076

Factors of 1084

List of positive integer factors of 1084 that divides 1084 without a remainder.

1, 2, 4, 271, 542, 1084

Least Common Multiple of 1076 and 1084 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 1084, than apply into the LCM equation.

GCF(1076,1084) = 4
LCM(1076,1084) = ( 1076 × 1084) / 4
LCM(1076,1084) = 1166384 / 4
LCM(1076,1084) = 291596

Properties of LCM 1076 and 1084

(i) The LCM of 1084 and 1076 is associative

LCM of 1076 and 1084 = LCM of 1084 and 1076

Related Least Common Multiples of 1076

Related Least Common Multiples of 1084

Frequently Asked Questions on LCM of 1076 and 1084

1. What is the LCM of 1076 and 1084?

Answer: LCM of 1076 and 1084 is 291596.

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 1084?

Answer: Factors of 1084 are 1, 2, 4, 271, 542, 1084. There are 6 integers that are factors of 1084. The greatest factor of 1084 is 1084.

4. How to Find the LCM of 1076 and 1084?

Answer:

Least Common Multiple of 1076 and 1084 = 291596

Step 1: Find the prime factorization of 1076

1076 = 2 x 2 x 269

Step 2: Find the prime factorization of 1084

1084 = 2 x 2 x 271

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

LCM = 291596 = 2 x 2 x 269 x 271

Step 4: Therefore, the least common multiple of 1076 and 1084 is 291596.