Least Common Multiple of 1101 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 1101 and 1107 the smallest integer that is 406269 that is divisible by both numbers.

Least Common Multiple (LCM) of 1101 and 1107 is 406269.

LCM(1101,1107) = 406269

LCM of 1101 and 1107

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

LCM of:
and

Least Common Multiple of 1101 and 1107

LCM of 1101 and 1107 is 406269

Least common multiple can be found by multiplying the highest exponent prime factors of 1101 and 1107. First we will calculate the prime factors of 1101 and 1107.

Prime Factorization of 1101


3 1101
367 367
1

Prime factors of 1101 are 3,367. Prime factorization of 1101 in exponential form is:

1101 = 31×3671

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 1101 and 1107.

LCM(1101,1107) = 33×411×3671
LCM(1101,1107) = 406269

Factors of 1101

List of positive integer factors of 1101 that divides 1101 without a remainder.

1, 3, 367, 1101

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 1101 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 1101 and 1107, than apply into the LCM equation.

GCF(1101,1107) = 3
LCM(1101,1107) = ( 1101 × 1107) / 3
LCM(1101,1107) = 1218807 / 3
LCM(1101,1107) = 406269

Properties of LCM 1101 and 1107

(i) The LCM of 1107 and 1101 is associative

LCM of 1101 and 1107 = LCM of 1107 and 1101

Related Least Common Multiples of 1101

Related Least Common Multiples of 1107

Frequently Asked Questions on LCM of 1101 and 1107

1. What is the LCM of 1101 and 1107?

Answer: LCM of 1101 and 1107 is 406269.

2. What are the Factors of 1101?

Answer: Factors of 1101 are 1, 3, 367, 1101. There are 4 integers that are factors of 1101. The greatest factor of 1101 is 1101.

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 1101 and 1107?

Answer:

Least Common Multiple of 1101 and 1107 = 406269

Step 1: Find the prime factorization of 1101

1101 = 3 x 367

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 = 406269 = 3 x 3 x 3 x 41 x 367

Step 4: Therefore, the least common multiple of 1101 and 1107 is 406269.