Least Common Multiple of 1107 and 1114

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 1114 the smallest integer that is 1233198 that is divisible by both numbers.

Least Common Multiple (LCM) of 1107 and 1114 is 1233198.

LCM(1107,1114) = 1233198

LCM of 1107 and 1114

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

LCM of:
and

Least Common Multiple of 1107 and 1114

LCM of 1107 and 1114 is 1233198

Least common multiple can be found by multiplying the highest exponent prime factors of 1107 and 1114. First we will calculate the prime factors of 1107 and 1114.

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 1114


2 1114
557 557
1

Prime factors of 1114 are 2,557. Prime factorization of 1114 in exponential form is:

1114 = 21×5571

Now multiplying the highest exponent prime factors to calculate the LCM of 1107 and 1114.

LCM(1107,1114) = 21×33×411×5571
LCM(1107,1114) = 1233198

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 1114

List of positive integer factors of 1114 that divides 1114 without a remainder.

1, 2, 557, 1114

Least Common Multiple of 1107 and 1114 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 1114, than apply into the LCM equation.

GCF(1107,1114) = 1
LCM(1107,1114) = ( 1107 × 1114) / 1
LCM(1107,1114) = 1233198 / 1
LCM(1107,1114) = 1233198

Properties of LCM 1107 and 1114

(i) The LCM of 1114 and 1107 is associative

LCM of 1107 and 1114 = LCM of 1114 and 1107

Related Least Common Multiples of 1107

Related Least Common Multiples of 1114

Frequently Asked Questions on LCM of 1107 and 1114

1. What is the LCM of 1107 and 1114?

Answer: LCM of 1107 and 1114 is 1233198.

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 1114?

Answer: Factors of 1114 are 1, 2, 557, 1114. There are 4 integers that are factors of 1114. The greatest factor of 1114 is 1114.

4. How to Find the LCM of 1107 and 1114?

Answer:

Least Common Multiple of 1107 and 1114 = 1233198

Step 1: Find the prime factorization of 1107

1107 = 3 x 3 x 3 x 41

Step 2: Find the prime factorization of 1114

1114 = 2 x 557

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

LCM = 1233198 = 2 x 3 x 3 x 3 x 41 x 557

Step 4: Therefore, the least common multiple of 1107 and 1114 is 1233198.