Least Common Multiple of 1084 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 1084 and 1088 the smallest integer that is 294848 that is divisible by both numbers.

Least Common Multiple (LCM) of 1084 and 1088 is 294848.

LCM(1084,1088) = 294848

LCM of 1084 and 1088

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

LCM of:
and

Least Common Multiple of 1084 and 1088

LCM of 1084 and 1088 is 294848

Least common multiple can be found by multiplying the highest exponent prime factors of 1084 and 1088. First we will calculate the prime factors of 1084 and 1088.

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

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 1084 and 1088.

LCM(1084,1088) = 26×171×2711
LCM(1084,1088) = 294848

Factors of 1084

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

1, 2, 4, 271, 542, 1084

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 1084 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 1084 and 1088, than apply into the LCM equation.

GCF(1084,1088) = 4
LCM(1084,1088) = ( 1084 × 1088) / 4
LCM(1084,1088) = 1179392 / 4
LCM(1084,1088) = 294848

Properties of LCM 1084 and 1088

(i) The LCM of 1088 and 1084 is associative

LCM of 1084 and 1088 = LCM of 1088 and 1084

Related Least Common Multiples of 1084

Related Least Common Multiples of 1088

Frequently Asked Questions on LCM of 1084 and 1088

1. What is the LCM of 1084 and 1088?

Answer: LCM of 1084 and 1088 is 294848.

2. 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.

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 1084 and 1088?

Answer:

Least Common Multiple of 1084 and 1088 = 294848

Step 1: Find the prime factorization of 1084

1084 = 2 x 2 x 271

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 = 294848 = 2 x 2 x 2 x 2 x 2 x 2 x 17 x 271

Step 4: Therefore, the least common multiple of 1084 and 1088 is 294848.