Least Common Multiple of 1088 and 1096

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 1096 the smallest integer that is 149056 that is divisible by both numbers.

Least Common Multiple (LCM) of 1088 and 1096 is 149056.

LCM(1088,1096) = 149056

LCM of 1088 and 1096

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

LCM of:
and

Least Common Multiple of 1088 and 1096

LCM of 1088 and 1096 is 149056

Least common multiple can be found by multiplying the highest exponent prime factors of 1088 and 1096. First we will calculate the prime factors of 1088 and 1096.

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 1096


2 1096
2 548
2 274
137 137
1

Prime factors of 1096 are 2,137. Prime factorization of 1096 in exponential form is:

1096 = 23×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 1088 and 1096.

LCM(1088,1096) = 26×171×1371
LCM(1088,1096) = 149056

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 1096

List of positive integer factors of 1096 that divides 1096 without a remainder.

1, 2, 4, 8, 137, 274, 548, 1096

Least Common Multiple of 1088 and 1096 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 1096, than apply into the LCM equation.

GCF(1088,1096) = 8
LCM(1088,1096) = ( 1088 × 1096) / 8
LCM(1088,1096) = 1192448 / 8
LCM(1088,1096) = 149056

Properties of LCM 1088 and 1096

(i) The LCM of 1096 and 1088 is associative

LCM of 1088 and 1096 = LCM of 1096 and 1088

Related Least Common Multiples of 1088

Related Least Common Multiples of 1096

Frequently Asked Questions on LCM of 1088 and 1096

1. What is the LCM of 1088 and 1096?

Answer: LCM of 1088 and 1096 is 149056.

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 1096?

Answer: Factors of 1096 are 1, 2, 4, 8, 137, 274, 548, 1096. There are 8 integers that are factors of 1096. The greatest factor of 1096 is 1096.

4. How to Find the LCM of 1088 and 1096?

Answer:

Least Common Multiple of 1088 and 1096 = 149056

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 1096

1096 = 2 x 2 x 2 x 137

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

LCM = 149056 = 2 x 2 x 2 x 2 x 2 x 2 x 17 x 137

Step 4: Therefore, the least common multiple of 1088 and 1096 is 149056.