Least Common Multiple of 1076 and 1081

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 1081 the smallest integer that is 1163156 that is divisible by both numbers.

Least Common Multiple (LCM) of 1076 and 1081 is 1163156.

LCM(1076,1081) = 1163156

LCM of 1076 and 1081

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

LCM of:
and

Least Common Multiple of 1076 and 1081

LCM of 1076 and 1081 is 1163156

Least common multiple can be found by multiplying the highest exponent prime factors of 1076 and 1081. First we will calculate the prime factors of 1076 and 1081.

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 1081


23 1081
47 47
1

Prime factors of 1081 are 23,47. Prime factorization of 1081 in exponential form is:

1081 = 231×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1076 and 1081.

LCM(1076,1081) = 22×231×471×2691
LCM(1076,1081) = 1163156

Factors of 1076

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

1, 2, 4, 269, 538, 1076

Factors of 1081

List of positive integer factors of 1081 that divides 1081 without a remainder.

1, 23, 47, 1081

Least Common Multiple of 1076 and 1081 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 1081, than apply into the LCM equation.

GCF(1076,1081) = 1
LCM(1076,1081) = ( 1076 × 1081) / 1
LCM(1076,1081) = 1163156 / 1
LCM(1076,1081) = 1163156

Properties of LCM 1076 and 1081

(i) The LCM of 1081 and 1076 is associative

LCM of 1076 and 1081 = LCM of 1081 and 1076

Related Least Common Multiples of 1076

Related Least Common Multiples of 1081

Frequently Asked Questions on LCM of 1076 and 1081

1. What is the LCM of 1076 and 1081?

Answer: LCM of 1076 and 1081 is 1163156.

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 1081?

Answer: Factors of 1081 are 1, 23, 47, 1081. There are 4 integers that are factors of 1081. The greatest factor of 1081 is 1081.

4. How to Find the LCM of 1076 and 1081?

Answer:

Least Common Multiple of 1076 and 1081 = 1163156

Step 1: Find the prime factorization of 1076

1076 = 2 x 2 x 269

Step 2: Find the prime factorization of 1081

1081 = 23 x 47

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

LCM = 1163156 = 2 x 2 x 23 x 47 x 269

Step 4: Therefore, the least common multiple of 1076 and 1081 is 1163156.