Least Common Multiple of 1102 and 1106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1102 and 1106 the smallest integer that is 609406 that is divisible by both numbers.

Least Common Multiple (LCM) of 1102 and 1106 is 609406.

LCM(1102,1106) = 609406

LCM of 1102 and 1106

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

LCM of:
and

Least Common Multiple of 1102 and 1106

LCM of 1102 and 1106 is 609406

Least common multiple can be found by multiplying the highest exponent prime factors of 1102 and 1106. First we will calculate the prime factors of 1102 and 1106.

Prime Factorization of 1102


2 1102
19 551
29 29
1

Prime factors of 1102 are 2, 19,29. Prime factorization of 1102 in exponential form is:

1102 = 21×191×291

Prime Factorization of 1106


2 1106
7 553
79 79
1

Prime factors of 1106 are 2, 7,79. Prime factorization of 1106 in exponential form is:

1106 = 21×71×791

Now multiplying the highest exponent prime factors to calculate the LCM of 1102 and 1106.

LCM(1102,1106) = 21×71×191×291×791
LCM(1102,1106) = 609406

Factors of 1102

List of positive integer factors of 1102 that divides 1102 without a remainder.

1, 2, 19, 29, 38, 58, 551, 1102

Factors of 1106

List of positive integer factors of 1106 that divides 1106 without a remainder.

1, 2, 7, 14, 79, 158, 553, 1106

Least Common Multiple of 1102 and 1106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1102 and 1106, than apply into the LCM equation.

GCF(1102,1106) = 2
LCM(1102,1106) = ( 1102 × 1106) / 2
LCM(1102,1106) = 1218812 / 2
LCM(1102,1106) = 609406

Properties of LCM 1102 and 1106

(i) The LCM of 1106 and 1102 is associative

LCM of 1102 and 1106 = LCM of 1106 and 1102

Related Least Common Multiples of 1102

Related Least Common Multiples of 1106

Frequently Asked Questions on LCM of 1102 and 1106

1. What is the LCM of 1102 and 1106?

Answer: LCM of 1102 and 1106 is 609406.

2. What are the Factors of 1102?

Answer: Factors of 1102 are 1, 2, 19, 29, 38, 58, 551, 1102. There are 8 integers that are factors of 1102. The greatest factor of 1102 is 1102.

3. What are the Factors of 1106?

Answer: Factors of 1106 are 1, 2, 7, 14, 79, 158, 553, 1106. There are 8 integers that are factors of 1106. The greatest factor of 1106 is 1106.

4. How to Find the LCM of 1102 and 1106?

Answer:

Least Common Multiple of 1102 and 1106 = 609406

Step 1: Find the prime factorization of 1102

1102 = 2 x 19 x 29

Step 2: Find the prime factorization of 1106

1106 = 2 x 7 x 79

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

LCM = 609406 = 2 x 7 x 19 x 29 x 79

Step 4: Therefore, the least common multiple of 1102 and 1106 is 609406.