Least Common Multiple of 1107 and 1115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1107 and 1115 the smallest integer that is 1234305 that is divisible by both numbers.

Least Common Multiple (LCM) of 1107 and 1115 is 1234305.

LCM(1107,1115) = 1234305

LCM of 1107 and 1115

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

LCM of:
and

Least Common Multiple of 1107 and 1115

LCM of 1107 and 1115 is 1234305

Least common multiple can be found by multiplying the highest exponent prime factors of 1107 and 1115. First we will calculate the prime factors of 1107 and 1115.

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

Prime Factorization of 1115


5 1115
223 223
1

Prime factors of 1115 are 5,223. Prime factorization of 1115 in exponential form is:

1115 = 51×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 1107 and 1115.

LCM(1107,1115) = 33×51×411×2231
LCM(1107,1115) = 1234305

Factors of 1107

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

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

Factors of 1115

List of positive integer factors of 1115 that divides 1115 without a remainder.

1, 5, 223, 1115

Least Common Multiple of 1107 and 1115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1107 and 1115, than apply into the LCM equation.

GCF(1107,1115) = 1
LCM(1107,1115) = ( 1107 × 1115) / 1
LCM(1107,1115) = 1234305 / 1
LCM(1107,1115) = 1234305

Properties of LCM 1107 and 1115

(i) The LCM of 1115 and 1107 is associative

LCM of 1107 and 1115 = LCM of 1115 and 1107

Related Least Common Multiples of 1107

Related Least Common Multiples of 1115

Frequently Asked Questions on LCM of 1107 and 1115

1. What is the LCM of 1107 and 1115?

Answer: LCM of 1107 and 1115 is 1234305.

2. 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.

3. What are the Factors of 1115?

Answer: Factors of 1115 are 1, 5, 223, 1115. There are 4 integers that are factors of 1115. The greatest factor of 1115 is 1115.

4. How to Find the LCM of 1107 and 1115?

Answer:

Least Common Multiple of 1107 and 1115 = 1234305

Step 1: Find the prime factorization of 1107

1107 = 3 x 3 x 3 x 41

Step 2: Find the prime factorization of 1115

1115 = 5 x 223

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

LCM = 1234305 = 3 x 3 x 3 x 5 x 41 x 223

Step 4: Therefore, the least common multiple of 1107 and 1115 is 1234305.