Least Common Multiple of 1088 and 1094

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 1088 and 1094 the smallest integer that is 595136 that is divisible by both numbers.

Least Common Multiple (LCM) of 1088 and 1094 is 595136.

LCM(1088,1094) = 595136

LCM of 1088 and 1094

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

LCM of:
and

Least Common Multiple of 1088 and 1094

LCM of 1088 and 1094 is 595136

Least common multiple can be found by multiplying the highest exponent prime factors of 1088 and 1094. First we will calculate the prime factors of 1088 and 1094.

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

Prime Factorization of 1094


2 1094
547 547
1

Prime factors of 1094 are 2,547. Prime factorization of 1094 in exponential form is:

1094 = 21×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 1088 and 1094.

LCM(1088,1094) = 26×171×5471
LCM(1088,1094) = 595136

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

Factors of 1094

List of positive integer factors of 1094 that divides 1094 without a remainder.

1, 2, 547, 1094

Least Common Multiple of 1088 and 1094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1088 and 1094, than apply into the LCM equation.

GCF(1088,1094) = 2
LCM(1088,1094) = ( 1088 × 1094) / 2
LCM(1088,1094) = 1190272 / 2
LCM(1088,1094) = 595136

Properties of LCM 1088 and 1094

(i) The LCM of 1094 and 1088 is associative

LCM of 1088 and 1094 = LCM of 1094 and 1088

Frequently Asked Questions on LCM of 1088 and 1094

1. What is the LCM of 1088 and 1094?

Answer: LCM of 1088 and 1094 is 595136.

2. 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.

3. What are the Factors of 1094?

Answer: Factors of 1094 are 1, 2, 547, 1094. There are 4 integers that are factors of 1094. The greatest factor of 1094 is 1094.

4. How to Find the LCM of 1088 and 1094?

Answer:

Least Common Multiple of 1088 and 1094 = 595136

Step 1: Find the prime factorization of 1088

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

Step 2: Find the prime factorization of 1094

1094 = 2 x 547

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

LCM = 595136 = 2 x 2 x 2 x 2 x 2 x 2 x 17 x 547

Step 4: Therefore, the least common multiple of 1088 and 1094 is 595136.