Least Common Multiple of 1096 and 1100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1096 and 1100 the smallest integer that is 301400 that is divisible by both numbers.

Least Common Multiple (LCM) of 1096 and 1100 is 301400.

LCM(1096,1100) = 301400

LCM of 1096 and 1100

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

LCM of:
and

Least Common Multiple of 1096 and 1100

LCM of 1096 and 1100 is 301400

Least common multiple can be found by multiplying the highest exponent prime factors of 1096 and 1100. First we will calculate the prime factors of 1096 and 1100.

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

Prime Factorization of 1100


2 1100
2 550
5 275
5 55
11 11
1

Prime factors of 1100 are 2, 5,11. Prime factorization of 1100 in exponential form is:

1100 = 22×52×111

Now multiplying the highest exponent prime factors to calculate the LCM of 1096 and 1100.

LCM(1096,1100) = 23×52×111×1371
LCM(1096,1100) = 301400

Factors of 1096

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

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

Factors of 1100

List of positive integer factors of 1100 that divides 1100 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100

Least Common Multiple of 1096 and 1100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1096 and 1100, than apply into the LCM equation.

GCF(1096,1100) = 4
LCM(1096,1100) = ( 1096 × 1100) / 4
LCM(1096,1100) = 1205600 / 4
LCM(1096,1100) = 301400

Properties of LCM 1096 and 1100

(i) The LCM of 1100 and 1096 is associative

LCM of 1096 and 1100 = LCM of 1100 and 1096

Related Least Common Multiples of 1096

Related Least Common Multiples of 1100

Frequently Asked Questions on LCM of 1096 and 1100

1. What is the LCM of 1096 and 1100?

Answer: LCM of 1096 and 1100 is 301400.

2. 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.

3. What are the Factors of 1100?

Answer: Factors of 1100 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100. There are 18 integers that are factors of 1100. The greatest factor of 1100 is 1100.

4. How to Find the LCM of 1096 and 1100?

Answer:

Least Common Multiple of 1096 and 1100 = 301400

Step 1: Find the prime factorization of 1096

1096 = 2 x 2 x 2 x 137

Step 2: Find the prime factorization of 1100

1100 = 2 x 2 x 5 x 5 x 11

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

LCM = 301400 = 2 x 2 x 2 x 5 x 5 x 11 x 137

Step 4: Therefore, the least common multiple of 1096 and 1100 is 301400.