Least Common Multiple of 1100 and 1107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1100 and 1107 the smallest integer that is 1217700 that is divisible by both numbers.

Least Common Multiple (LCM) of 1100 and 1107 is 1217700.

LCM(1100,1107) = 1217700

LCM of 1100 and 1107

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

LCM of:
and

Least Common Multiple of 1100 and 1107

LCM of 1100 and 1107 is 1217700

Least common multiple can be found by multiplying the highest exponent prime factors of 1100 and 1107. First we will calculate the prime factors of 1100 and 1107.

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

Prime Factorization of 1107


3 1107
3 369
3 123
41 41
1

Prime factors of 1107 are 3,41. Prime factorization of 1107 in exponential form is:

1107 = 33×411

Now multiplying the highest exponent prime factors to calculate the LCM of 1100 and 1107.

LCM(1100,1107) = 22×33×52×111×411
LCM(1100,1107) = 1217700

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

Factors of 1107

List of positive integer factors of 1107 that divides 1107 without a remainder.

1, 3, 9, 27, 41, 123, 369, 1107

Least Common Multiple of 1100 and 1107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1100 and 1107, than apply into the LCM equation.

GCF(1100,1107) = 1
LCM(1100,1107) = ( 1100 × 1107) / 1
LCM(1100,1107) = 1217700 / 1
LCM(1100,1107) = 1217700

Properties of LCM 1100 and 1107

(i) The LCM of 1107 and 1100 is associative

LCM of 1100 and 1107 = LCM of 1107 and 1100

Related Least Common Multiples of 1100

Related Least Common Multiples of 1107

Frequently Asked Questions on LCM of 1100 and 1107

1. What is the LCM of 1100 and 1107?

Answer: LCM of 1100 and 1107 is 1217700.

2. 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.

3. What are the Factors of 1107?

Answer: Factors of 1107 are 1, 3, 9, 27, 41, 123, 369, 1107. There are 8 integers that are factors of 1107. The greatest factor of 1107 is 1107.

4. How to Find the LCM of 1100 and 1107?

Answer:

Least Common Multiple of 1100 and 1107 = 1217700

Step 1: Find the prime factorization of 1100

1100 = 2 x 2 x 5 x 5 x 11

Step 2: Find the prime factorization of 1107

1107 = 3 x 3 x 3 x 41

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

LCM = 1217700 = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 11 x 41

Step 4: Therefore, the least common multiple of 1100 and 1107 is 1217700.