Least Common Multiple of 1103 and 1111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1103 and 1111 the smallest integer that is 1225433 that is divisible by both numbers.

Least Common Multiple (LCM) of 1103 and 1111 is 1225433.

LCM(1103,1111) = 1225433

LCM of 1103 and 1111

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

LCM of:
and

Least Common Multiple of 1103 and 1111

LCM of 1103 and 1111 is 1225433

Least common multiple can be found by multiplying the highest exponent prime factors of 1103 and 1111. First we will calculate the prime factors of 1103 and 1111.

Prime Factorization of 1103


1103 1103
1

Prime factors of 1103 are 1103. Prime factorization of 1103 in exponential form is:

1103 = 11031

Prime Factorization of 1111


11 1111
101 101
1

Prime factors of 1111 are 11,101. Prime factorization of 1111 in exponential form is:

1111 = 111×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 1103 and 1111.

LCM(1103,1111) = 111×1011×11031
LCM(1103,1111) = 1225433

Factors of 1103

List of positive integer factors of 1103 that divides 1103 without a remainder.

1, 1103

Factors of 1111

List of positive integer factors of 1111 that divides 1111 without a remainder.

1, 11, 101, 1111

Least Common Multiple of 1103 and 1111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1103 and 1111, than apply into the LCM equation.

GCF(1103,1111) = 1
LCM(1103,1111) = ( 1103 × 1111) / 1
LCM(1103,1111) = 1225433 / 1
LCM(1103,1111) = 1225433

Properties of LCM 1103 and 1111

(i) The LCM of 1111 and 1103 is associative

LCM of 1103 and 1111 = LCM of 1111 and 1103

Related Least Common Multiples of 1103

Related Least Common Multiples of 1111

Frequently Asked Questions on LCM of 1103 and 1111

1. What is the LCM of 1103 and 1111?

Answer: LCM of 1103 and 1111 is 1225433.

2. What are the Factors of 1103?

Answer: Factors of 1103 are 1, 1103. There are 2 integers that are factors of 1103. The greatest factor of 1103 is 1103.

3. What are the Factors of 1111?

Answer: Factors of 1111 are 1, 11, 101, 1111. There are 4 integers that are factors of 1111. The greatest factor of 1111 is 1111.

4. How to Find the LCM of 1103 and 1111?

Answer:

Least Common Multiple of 1103 and 1111 = 1225433

Step 1: Find the prime factorization of 1103

1103 = 1103

Step 2: Find the prime factorization of 1111

1111 = 11 x 101

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

LCM = 1225433 = 11 x 101 x 1103

Step 4: Therefore, the least common multiple of 1103 and 1111 is 1225433.