Least Common Multiple of 1102 and 1108

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 1108 the smallest integer that is 610508 that is divisible by both numbers.

Least Common Multiple (LCM) of 1102 and 1108 is 610508.

LCM(1102,1108) = 610508

LCM of 1102 and 1108

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

LCM of:
and

Least Common Multiple of 1102 and 1108

LCM of 1102 and 1108 is 610508

Least common multiple can be found by multiplying the highest exponent prime factors of 1102 and 1108. First we will calculate the prime factors of 1102 and 1108.

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 1108


2 1108
2 554
277 277
1

Prime factors of 1108 are 2,277. Prime factorization of 1108 in exponential form is:

1108 = 22×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 1102 and 1108.

LCM(1102,1108) = 22×191×291×2771
LCM(1102,1108) = 610508

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 1108

List of positive integer factors of 1108 that divides 1108 without a remainder.

1, 2, 4, 277, 554, 1108

Least Common Multiple of 1102 and 1108 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 1108, than apply into the LCM equation.

GCF(1102,1108) = 2
LCM(1102,1108) = ( 1102 × 1108) / 2
LCM(1102,1108) = 1221016 / 2
LCM(1102,1108) = 610508

Properties of LCM 1102 and 1108

(i) The LCM of 1108 and 1102 is associative

LCM of 1102 and 1108 = LCM of 1108 and 1102

Related Least Common Multiples of 1102

Related Least Common Multiples of 1108

Frequently Asked Questions on LCM of 1102 and 1108

1. What is the LCM of 1102 and 1108?

Answer: LCM of 1102 and 1108 is 610508.

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 1108?

Answer: Factors of 1108 are 1, 2, 4, 277, 554, 1108. There are 6 integers that are factors of 1108. The greatest factor of 1108 is 1108.

4. How to Find the LCM of 1102 and 1108?

Answer:

Least Common Multiple of 1102 and 1108 = 610508

Step 1: Find the prime factorization of 1102

1102 = 2 x 19 x 29

Step 2: Find the prime factorization of 1108

1108 = 2 x 2 x 277

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

LCM = 610508 = 2 x 2 x 19 x 29 x 277

Step 4: Therefore, the least common multiple of 1102 and 1108 is 610508.