Least Common Multiple of 1107 and 1110

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 1110 the smallest integer that is 409590 that is divisible by both numbers.

Least Common Multiple (LCM) of 1107 and 1110 is 409590.

LCM(1107,1110) = 409590

LCM of 1107 and 1110

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

LCM of:
and

Least Common Multiple of 1107 and 1110

LCM of 1107 and 1110 is 409590

Least common multiple can be found by multiplying the highest exponent prime factors of 1107 and 1110. First we will calculate the prime factors of 1107 and 1110.

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 1110


2 1110
3 555
5 185
37 37
1

Prime factors of 1110 are 2, 3, 5,37. Prime factorization of 1110 in exponential form is:

1110 = 21×31×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1107 and 1110.

LCM(1107,1110) = 21×33×51×371×411
LCM(1107,1110) = 409590

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 1110

List of positive integer factors of 1110 that divides 1110 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 111, 185, 222, 370, 555, 1110

Least Common Multiple of 1107 and 1110 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 1110, than apply into the LCM equation.

GCF(1107,1110) = 3
LCM(1107,1110) = ( 1107 × 1110) / 3
LCM(1107,1110) = 1228770 / 3
LCM(1107,1110) = 409590

Properties of LCM 1107 and 1110

(i) The LCM of 1110 and 1107 is associative

LCM of 1107 and 1110 = LCM of 1110 and 1107

Related Least Common Multiples of 1107

Related Least Common Multiples of 1110

Frequently Asked Questions on LCM of 1107 and 1110

1. What is the LCM of 1107 and 1110?

Answer: LCM of 1107 and 1110 is 409590.

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 1110?

Answer: Factors of 1110 are 1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 111, 185, 222, 370, 555, 1110. There are 16 integers that are factors of 1110. The greatest factor of 1110 is 1110.

4. How to Find the LCM of 1107 and 1110?

Answer:

Least Common Multiple of 1107 and 1110 = 409590

Step 1: Find the prime factorization of 1107

1107 = 3 x 3 x 3 x 41

Step 2: Find the prime factorization of 1110

1110 = 2 x 3 x 5 x 37

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

LCM = 409590 = 2 x 3 x 3 x 3 x 5 x 37 x 41

Step 4: Therefore, the least common multiple of 1107 and 1110 is 409590.