Least Common Multiple of 1081 and 1088

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1081 and 1088 the smallest integer that is 1176128 that is divisible by both numbers.

Least Common Multiple (LCM) of 1081 and 1088 is 1176128.

LCM(1081,1088) = 1176128

LCM of 1081 and 1088

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

LCM of:
and

Least Common Multiple of 1081 and 1088

LCM of 1081 and 1088 is 1176128

Least common multiple can be found by multiplying the highest exponent prime factors of 1081 and 1088. First we will calculate the prime factors of 1081 and 1088.

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

Prime Factorization of 1088


2 1088
2 544
2 272
2 136
2 68
2 34
17 17
1

Prime factors of 1088 are 2,17. Prime factorization of 1088 in exponential form is:

1088 = 26×171

Now multiplying the highest exponent prime factors to calculate the LCM of 1081 and 1088.

LCM(1081,1088) = 26×171×231×471
LCM(1081,1088) = 1176128

Factors of 1081

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

1, 23, 47, 1081

Factors of 1088

List of positive integer factors of 1088 that divides 1088 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, 1088

Least Common Multiple of 1081 and 1088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1081 and 1088, than apply into the LCM equation.

GCF(1081,1088) = 1
LCM(1081,1088) = ( 1081 × 1088) / 1
LCM(1081,1088) = 1176128 / 1
LCM(1081,1088) = 1176128

Properties of LCM 1081 and 1088

(i) The LCM of 1088 and 1081 is associative

LCM of 1081 and 1088 = LCM of 1088 and 1081

Related Least Common Multiples of 1081

Related Least Common Multiples of 1088

Frequently Asked Questions on LCM of 1081 and 1088

1. What is the LCM of 1081 and 1088?

Answer: LCM of 1081 and 1088 is 1176128.

2. 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.

3. What are the Factors of 1088?

Answer: Factors of 1088 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, 1088. There are 14 integers that are factors of 1088. The greatest factor of 1088 is 1088.

4. How to Find the LCM of 1081 and 1088?

Answer:

Least Common Multiple of 1081 and 1088 = 1176128

Step 1: Find the prime factorization of 1081

1081 = 23 x 47

Step 2: Find the prime factorization of 1088

1088 = 2 x 2 x 2 x 2 x 2 x 2 x 17

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

LCM = 1176128 = 2 x 2 x 2 x 2 x 2 x 2 x 17 x 23 x 47

Step 4: Therefore, the least common multiple of 1081 and 1088 is 1176128.